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On The Automorphisms Of Normal Subgroups Of The Collineation Group Of Affine Spaces
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Book Synopsis On the automorphisms of normal subgroups of the collineation group of affine spaces by : Helmut Mäurer
Download or read book On the automorphisms of normal subgroups of the collineation group of affine spaces written by Helmut Mäurer and published by . This book was released on 1988 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Automorphismus of Normal Subgroups of the Collineation Group of Affine Spaces by : Helmut Mäurer
Download or read book On the Automorphismus of Normal Subgroups of the Collineation Group of Affine Spaces written by Helmut Mäurer and published by . This book was released on 1988 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automorphisms of Affine Spaces by : Arno van den Essen
Download or read book Automorphisms of Affine Spaces written by Arno van den Essen and published by Springer Science & Business Media. This book was released on 1995-06-30 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps.
Book Synopsis Loops in Group Theory and Lie Theory by : Péter Nagy
Download or read book Loops in Group Theory and Lie Theory written by Péter Nagy and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the theory of binary systems is considered as a part of group theory and, in particular, within the framework of Lie groups. The novelty is the consequent treatment of topological and differentiable loops as topological and differentiable sections in Lie groups. The interplay of methods and tools from group theory, differential geometry and topology, symmetric spaces, topological geometry, and the theory of foliations is what gives a special flavour to the results presented in this book. It is the first monograph devoted to the study of global loops. So far books on differentiable loops deal with local loops only. This theory can only be used partially for the theory of global loops since non-associative local structures have, in general, no global forms. The text is addressed to researchers in non-associative algebra and foundations of geometry. It should prove enlightening to a broad range of readers, including mathematicians working in group theory, the theory of Lie groups, in differential and topological geometry, and in algebraic groups. The authors have produced a text that is suitable not only for a graduate course, but also for selfstudy in the subjectby interested graduate students. Moreover, the material presented can be used for lectures and seminars in algebra, topological algebra and geometry.
Book Synopsis On the Automorphisms of the Classical Groups by : Jean Dieudonné
Download or read book On the Automorphisms of the Classical Groups written by Jean Dieudonné and published by American Mathematical Soc.. This book was released on 1951 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Affine Sets and Affine Groups by : D. G. Northcott
Download or read book Affine Sets and Affine Groups written by D. G. Northcott and published by Cambridge University Press. This book was released on 1980-05-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these notes, first published in 1980, Professor Northcott provides a self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory. The book divides into two parts. The first four chapters contain all the geometry needed for the second half of the book which deals with affine groups. Alternatively the first part provides a sure introduction to the foundations of algebraic geometry. Any affine group has an associated Lie algebra. In the last two chapters, the author studies these algebras and shows how, in certain important cases, their properties can be transferred back to the groups from which they arose. These notes provide a clear and carefully written introduction to algebraic geometry and algebraic groups.
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Affine Group Schemes by : W.C. Waterhouse
Download or read book Introduction to Affine Group Schemes written by W.C. Waterhouse and published by Springer Science & Business Media. This book was released on 1979-11-13 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ah Love! Could you and I with Him consl?ire To grasp this sorry Scheme of things entIre' KHAYYAM People investigating algebraic groups have studied the same objects in many different guises. My first goal thus has been to take three different viewpoints and demonstrate how they offer complementary intuitive insight into the subject. In Part I we begin with a functorial idea, discussing some familiar processes for constructing groups. These turn out to be equivalent to the ring-theoretic objects called Hopf algebras, with which we can then con struct new examples. Study of their representations shows that they are closely related to groups of matrices, and closed sets in matrix space give us a geometric picture of some of the objects involved. This interplay of methods continues as we turn to specific results. In Part II, a geometric idea (connectedness) and one from classical matrix theory (Jordan decomposition) blend with the study of separable algebras. In Part III, a notion of differential prompted by the theory of Lie groups is used to prove the absence of nilpotents in certain Hopf algebras. The ring-theoretic work on faithful flatness in Part IV turns out to give the true explanation for the behavior of quotient group functors. Finally, the material is connected with other parts of algebra in Part V, which shows how twisted forms of any algebraic structure are governed by its automorphism group scheme.
Book Synopsis Advances In Algebra, Proceedings Of The Icm Satellite Conference In Algebra And Related Topics by : Kar Ping Shum
Download or read book Advances In Algebra, Proceedings Of The Icm Satellite Conference In Algebra And Related Topics written by Kar Ping Shum and published by World Scientific. This book was released on 2003-07-07 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the ICM2002 Satellite Conference on Algebras. Over 175 participants attended the meeting. The opening ceremony included an address by R Gonchidorazh, former vice-president of the Mongolian Republic in Ulaanbaatar. The topics covered at the conference included general algebras, semigroups, groups, rings, hopf algebras, modules, codes, languages, automation theory, graphs, fuzzy algebras and applications.
Book Synopsis Finite Geometries by : Aart Blokhuis
Download or read book Finite Geometries written by Aart Blokhuis and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: When? These are the proceedings of Finite Geometries, the Fourth Isle of Thorns Conference, which took place from Sunday 16 to Friday 21 July, 2000. It was organised by the editors of this volume. The Third Conference in 1990 was published as Advances in Finite Geometries and Designs by Oxford University Press and the Second Conference in 1980 was published as Finite Geometries and Designs by Cambridge University Press. The main speakers were A. R. Calderbank, P. J. Cameron, C. E. Praeger, B. Schmidt, H. Van Maldeghem. There were 64 participants and 42 contributions, all listed at the end of the volume. Conference web site http://www. maths. susx. ac. uk/Staff/JWPH/ Why? This collection of 21 articles describes the latest research and current state of the art in the following inter-linked areas: • combinatorial structures in finite projective and affine spaces, also known as Galois geometries, in which combinatorial objects such as blocking sets, spreads and partial spreads, ovoids, arcs and caps, as well as curves and hypersurfaces, are all of interest; • geometric and algebraic coding theory; • finite groups and incidence geometries, as in polar spaces, gener alized polygons and diagram geometries; • algebraic and geometric design theory, in particular designs which have interesting symmetric properties and difference sets, which play an important role, because of their close connections to both Galois geometry and coding theory.
Book Synopsis Canadian Journal of Mathematics by :
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1969 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Groups St Andrews 2013 by : C. M. Campbell
Download or read book Groups St Andrews 2013 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2015-10-22 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. Since 1981, the proceedings of those meetings have provided a regular snapshot of the state of the art in group theory and helped to shape the direction of research in the field. This volume contains selected papers from the 2013 meeting held in St Andrews. It begins with major articles from each of the four main speakers: Emmanuel Breuillard (Paris-Sud), Martin Liebeck (Imperial College London), Alan Reid (Texas) and Karen Vogtmann (Cornell). These are followed by, in alphabetical order, survey articles contributed by other conference participants, which cover a wide spectrum of modern group theory.
Book Synopsis Foundations of Translation Planes by : Mauro Biliotti
Download or read book Foundations of Translation Planes written by Mauro Biliotti and published by CRC Press. This book was released on 2001-07-13 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of structure theory as well as tools and techniques for the construction of new planes.
Download or read book Combinatorics written by Marshall Hall and published by . This book was released on 1974 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Combinatorics: Combinatorial group theory by : Marshall Hall
Download or read book Combinatorics: Combinatorial group theory written by Marshall Hall and published by . This book was released on 1974 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Centre Tracts written by and published by . This book was released on 1975 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Relations between Combinatorics and Other Parts of Mathematics by : Dijen Ray-Chaudhuri
Download or read book Relations between Combinatorics and Other Parts of Mathematics written by Dijen Ray-Chaudhuri and published by American Mathematical Soc.. This book was released on 1979 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings into focus interconnections between combinatorics on the one hand and geometry, group theory, number theory, special functions, lattice packings, logic, topological embeddings, games, experimental dsigns, and sociological and biological applications on the other hand.