A Note on the Automorphisms of Maximal Orders

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Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (554 download)

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Book Synopsis A Note on the Automorphisms of Maximal Orders by : M.-A. Knus

Download or read book A Note on the Automorphisms of Maximal Orders written by M.-A. Knus and published by . This book was released on 1971 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster

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Publisher : American Mathematical Society
ISBN 13 : 1470465442
Total Pages : 108 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster by : Alexander Bors

Download or read book Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster written by Alexander Bors and published by American Mathematical Society. This book was released on 2023-07-31 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Frobenius Groups and Classical Maximal Orders

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Publisher : American Mathematical Soc.
ISBN 13 : 0821826670
Total Pages : 125 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Frobenius Groups and Classical Maximal Orders by : Ron Brown

Download or read book Frobenius Groups and Classical Maximal Orders written by Ron Brown and published by American Mathematical Soc.. This book was released on 2001 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Lemmas on truncated group rings Groups of real quaternions Proof of the classification theorem Frobenius complements with core index 1 Frobenius complements with core index 4 Frobenius complements with core index 12 Frobenius complements with core index 24 Frobenius complements with core index 60 Frobenius complements with core index 120 Counting Frobenius complements Maximal orders Isomorphism classes of Frobenius groups with Abelian Frobenius kernel Concrete constructions of Frobenius groups Counting Frobenius groups with Abelian Frobenius kernel Isomorphism invariants for Frobenius complements Schur indices and finite subgroups of division rings Bibliography

Maximal Orders

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ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Maximal Orders by : Irving Reiner

Download or read book Maximal Orders written by Irving Reiner and published by . This book was released on 1975 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Groups with Fixed-point-free Automorphisms of Prime Order

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Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Finite Groups with Fixed-point-free Automorphisms of Prime Order by : John Thompson

Download or read book Finite Groups with Fixed-point-free Automorphisms of Prime Order written by John Thompson and published by . This book was released on 1959 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Curves over a Finite Field

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Publisher : Princeton University Press
ISBN 13 : 1400847419
Total Pages : 717 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Algebraic Curves over a Finite Field by : J. W. P. Hirschfeld

Download or read book Algebraic Curves over a Finite Field written by J. W. P. Hirschfeld and published by Princeton University Press. This book was released on 2013-03-25 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves. The authors begin by developing the general theory of curves over any field, highlighting peculiarities occurring for positive characteristic and requiring of the reader only basic knowledge of algebra and geometry. The special properties that a curve over a finite field can have are then discussed. The geometrical theory of linear series is used to find estimates for the number of rational points on a curve, following the theory of Stöhr and Voloch. The approach of Hasse and Weil via zeta functions is explained, and then attention turns to more advanced results: a state-of-the-art introduction to maximal curves over finite fields is provided; a comprehensive account is given of the automorphism group of a curve; and some applications to coding theory and finite geometry are described. The book includes many examples and exercises. It is an indispensable resource for researchers and the ideal textbook for graduate students.

Abstract Algebra

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Publisher : CRC Press
ISBN 13 : 1584886900
Total Pages : 460 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Abstract Algebra by : Paul B. Garrett

Download or read book Abstract Algebra written by Paul B. Garrett and published by CRC Press. This book was released on 2007-09-25 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narra

P-Automorphisms of Finite P-Groups

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Publisher : Cambridge University Press
ISBN 13 : 052159717X
Total Pages : 226 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis P-Automorphisms of Finite P-Groups by : Evgenii I. Khukhro

Download or read book P-Automorphisms of Finite P-Groups written by Evgenii I. Khukhro and published by Cambridge University Press. This book was released on 1998-02-13 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers working in group theory and Lie rings.

Nilpotent Groups and Their Automorphisms

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Publisher : Walter de Gruyter
ISBN 13 : 9783110136722
Total Pages : 276 pages
Book Rating : 4.1/5 (367 download)

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Book Synopsis Nilpotent Groups and Their Automorphisms by : Evgenii I. Khukhro

Download or read book Nilpotent Groups and Their Automorphisms written by Evgenii I. Khukhro and published by Walter de Gruyter. This book was released on 1993 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

The Maximum Order Finite Groups of Outer Automorphisms of Free Groups

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Publisher :
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis The Maximum Order Finite Groups of Outer Automorphisms of Free Groups by : Sicheng Wang

Download or read book The Maximum Order Finite Groups of Outer Automorphisms of Free Groups written by Sicheng Wang and published by . This book was released on 1993 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 1470410931
Total Pages : 362 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces by : Milagros Izquierdo

Download or read book Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces written by Milagros Izquierdo and published by American Mathematical Soc.. This book was released on 2014-11-21 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio Bujalance, held from June 24-28, 2013, at Linköping University. The conference and this volume are devoted to the mathematics that Emilio Bujalance has worked with in the following areas, all with a computational flavor: Riemann and Klein surfaces, automorphisms of real and complex surfaces, group actions on surfaces and topological properties of moduli spaces of complex curves and Abelian varieties.

Brauer Groups in Ring Theory and Algebraic Geometry

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Publisher : Springer
ISBN 13 : 354039057X
Total Pages : 312 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Brauer Groups in Ring Theory and Algebraic Geometry by : F. van Oystaeyen

Download or read book Brauer Groups in Ring Theory and Algebraic Geometry written by F. van Oystaeyen and published by Springer. This book was released on 2006-11-14 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytic and Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821872753
Total Pages : 601 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Analytic and Algebraic Geometry by : Jeffery D. McNeal

Download or read book Analytic and Algebraic Geometry written by Jeffery D. McNeal and published by American Mathematical Soc.. This book was released on 2010-01-01 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and researchers in geometry, particularly complex geometry. The PCMI program was designed to partially address this language gulf, by presenting some of the active developments in algebraic and analytic geometry in a form suitable for students on the 'other side' of the analysis-algebra language divide. One focal point of the summer school was multiplier ideals, a subject of wide current interest in both subjects. The present volume is based on a series of lectures at the PCMI summer school on analytic and algebraic geometry. The series is designed to give a high-level introduction to the advanced techniques behind some recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented, in order to enhance access of this material to non-specialists."--Publisher's description.

Nilpotent Groups and their Automorphisms

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Publisher : Walter de Gruyter
ISBN 13 : 3110846217
Total Pages : 269 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Nilpotent Groups and their Automorphisms by : Evgenii I. Khukhro

Download or read book Nilpotent Groups and their Automorphisms written by Evgenii I. Khukhro and published by Walter de Gruyter. This book was released on 2011-04-20 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Groups of Prime Power Order. Volume 3

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Publisher : Walter de Gruyter
ISBN 13 : 3110254484
Total Pages : 669 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Groups of Prime Power Order. Volume 3 by : Yakov Berkovich

Download or read book Groups of Prime Power Order. Volume 3 written by Yakov Berkovich and published by Walter de Gruyter. This book was released on 2011-06-30 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: impact of minimal nonabelian subgroups on the structure of p-groups, classification of groups all of whose nonnormal subgroups have the same order, degrees of irreducible characters of p-groups associated with finite algebras, groups covered by few proper subgroups, p-groups of element breadth 2 and subgroup breadth 1, exact number of subgroups of given order in a metacyclic p-group, soft subgroups, p-groups with a maximal elementary abelian subgroup of order p2, p-groups generated by certain minimal nonabelian subgroups, p-groups in which certain nonabelian subgroups are 2-generator. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

Finite Order Automorphisms and Real Forms of Affine Kac-Moody Algebras in the Smooth and Algebraic Category

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Publisher : American Mathematical Soc.
ISBN 13 : 0821869183
Total Pages : 81 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Finite Order Automorphisms and Real Forms of Affine Kac-Moody Algebras in the Smooth and Algebraic Category by : Ernst Heintze

Download or read book Finite Order Automorphisms and Real Forms of Affine Kac-Moody Algebras in the Smooth and Algebraic Category written by Ernst Heintze and published by American Mathematical Soc.. This book was released on 2012 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heintze and Gross discuss isomorphisms between smooth loop algebras and of smooth affine Kac-Moody algebras in particular, and automorphisms of the first and second kinds of finite order. Then they consider involutions of the first and second kind, and make the algebraic case. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com).

Automorphism Groups of Compact Bordered Klein Surfaces

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Publisher : Springer
ISBN 13 : 3540471804
Total Pages : 214 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Automorphism Groups of Compact Bordered Klein Surfaces by : Emilio Bujalance

Download or read book Automorphism Groups of Compact Bordered Klein Surfaces written by Emilio Bujalance and published by Springer. This book was released on 2006-11-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S. The cases dealt with here take G cyclic, abelian, nilpotent or supersoluble and S hyperelliptic or with connected boundary. No advanced knowledge of group theory or hyperbolic geometry is required and three introductory chapters provide as much background as necessary on non-euclidean crystallographic groups. The graduate reader thus finds here an easy access to current research in this area as well as several new results obtained by means of the same unified approach.