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The Fourth Janko Group
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Book Synopsis The Fourth Janko Group by : Alexander A. Ivanov
Download or read book The Fourth Janko Group written by Alexander A. Ivanov and published by Clarendon Press. This book was released on 2004-11-04 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory and local analysis are combined to construct one of the last of the sporadic finite simple groups - the fourth Janko group J_4. Aimed at graduates and researchers in group theory, geometry and algebra, Ivanov's approach is based on analysis of group amalgams and the geometry of the complexes of these amalgams with emphasis on the underlying theory. An indispensible resource, this book will be a unique and essential reference for researchers in the area. The author is a leading researcher in the field.
Book Synopsis The Fourth Janko Group by : Aleksandr Anatolievich Ivanov
Download or read book The Fourth Janko Group written by Aleksandr Anatolievich Ivanov and published by . This book was released on 2004 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The fourth janko group [electronic book] by : A. A. Ivanov
Download or read book The fourth janko group [electronic book] written by A. A. Ivanov and published by . This book was released on 2004-11-04 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory and local analysis are combined to construct one of the last of the sporadic finite simple groups - the fourt
Book Synopsis Finite Simple Groups by : Daniel Gorenstein
Download or read book Finite Simple Groups written by Daniel Gorenstein and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: In February 1981, the classification of the finite simple groups (Dl)* was completed,t. * representing one of the most remarkable achievements in the history or mathematics. Involving the combined efforts of several hundred mathematicians from around the world over a period of 30 years, the full proof covered something between 5,000 and 10,000 journal pages, spread over 300 to 500 individual papers. The single result that, more than any other, opened up the field and foreshadowed the vastness of the full classification proof was the celebrated theorem of Walter Feit and John Thompson in 1962, which stated that every finite group of odd order (D2) is solvable (D3)-a statement expressi ble in a single line, yet its proof required a full 255-page issue of the Pacific 10urnal of Mathematics [93]. Soon thereafter, in 1965, came the first new sporadic simple group in over 100 years, the Zvonimir Janko group 1 , to further stimulate the 1 'To make the book as self-contained as possible. we are including definitions of various terms as they occur in the text. However. in order not to disrupt the continuity of the discussion. we have placed them at the end of the Introduction. We denote these definitions by (DI). (D2), (D3). etc.
Book Synopsis Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries by : A. A. Ivanov
Download or read book Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries written by A. A. Ivanov and published by Cambridge University Press. This book was released on 1999-06-17 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important monograph on finite group theory.
Book Synopsis Computational Methods for Representations of Groups and Algebras by : P. Dräxler
Download or read book Computational Methods for Representations of Groups and Algebras written by P. Dräxler and published by Springer Science & Business Media. This book was released on 1999 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: I Introductory Articles.- 1 Classification Problems in the Representation Theory of Finite-Dimensional Algebras.- 2 Noncommutative Gröbner Bases, and Projective Resolutions.- 3 Construction of Finite Matrix Groups.- II Keynote Articles.- 4 Derived Tubularity: a Computational Approach.- 5 Problems in the Calculation of Group Cohomology.- 6 On a Tensor Category for the Exceptional Lie Groups.- 7 Non-Commutative Gröbner Bases and Anick's Resolution.- 8 A new Existence Proof of Janko's Simple Group J4.- 9 The Normalization: a new Algorithm, Implementation and Comparisons.- 10 A Computer Algebra Approach to sheaves over Weighted Projective Lines.- 11 Open Problems in the Theory of Kazhdan-Lusztig polynomials.- 12 Relative Trace Ideals and Cohen Macaulay Quotients.- 13 On Sims' Presentation for Lyons' Simple Group.- 14 A Presentation for the Lyons Simple Group.- 15 Reduction of Weakly Definite Unit Forms.- 16 Decision Problems in Finitely Presented Groups.- 17 Some Algorithms in Invariant Theory of Finite Groups.- 18 Coxeter Transformations associated with Finite Dimensional Algebras.- 19 The 2-Modular Decomposition Numbers of Co2.- 20 Bimodule and Matrix Problems.
Book Synopsis Threading Homology Through Algebra by : G. Boffi
Download or read book Threading Homology Through Algebra written by G. Boffi and published by Oxford University Press. This book was released on 2006-06-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students and researchers in mathematics, this book takes homological themes, such as Koszul complexes and their generalizations, and shows how these can be used to clarify certain problems in selected parts of algebra, as well as their success in solving a number of them.
Book Synopsis Fourier-Mukai Transforms in Algebraic Geometry by : Daniel Huybrechts
Download or read book Fourier-Mukai Transforms in Algebraic Geometry written by Daniel Huybrechts and published by Oxford University Press. This book was released on 2006-04-20 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based on a course given at the Institut de Mathematiques de Jussieu, on the derived category of coherent sheaves on a smooth projective variety. It is aimed at students with a basic knowledge of algebraic geometry and contains full proofs and exercises that aid the reader.
Book Synopsis Hilbert Modular Forms and Iwasawa Theory by : Haruzo Hida
Download or read book Hilbert Modular Forms and Iwasawa Theory written by Haruzo Hida and published by Clarendon Press. This book was released on 2006-06-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1995 work of Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book, authored by a leading researcher, describes the striking applications that have been found for this technique. In the book, the deformation theoretic techniques of Wiles-Taylor are first generalized to Hilbert modular forms (following Fujiwara's treatment), and some applications found by the author are then discussed. With many exercises and open questions given, this text is ideal for researchers and graduate students entering this research area.
Book Synopsis Multi-dimensional Hyperbolic Partial Differential Equations by : Sylvie Benzoni-Gavage
Download or read book Multi-dimensional Hyperbolic Partial Differential Equations written by Sylvie Benzoni-Gavage and published by Oxford University Press, USA. This book was released on 2007 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by leading scholars, this comprehensive text presents a view of the multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. It is useful to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.
Book Synopsis Blackie's Dictionary of Mathematics by : Blackie
Download or read book Blackie's Dictionary of Mathematics written by Blackie and published by S. Chand Publishing. This book was released on 2000* with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dictionary
Book Synopsis Surveys in Combinatorics 2024 by : Felix Fischer
Download or read book Surveys in Combinatorics 2024 written by Felix Fischer and published by Cambridge University Press. This book was released on 2024-06-13 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, held at Queen Mary University of London in July 2024. Each article provides an overview of recent developments in a current hot research topic in combinatorics. Topics covered include: Latin squares, Erdős covering systems, finite field models, sublinear expanders, cluster expansion, the slice rank polynomial method, and oriented trees and paths in digraphs. The authors are among the world's foremost researchers on their respective topics but their surveys are accessible to nonspecialist readers: they are written clearly with little prior knowledge assumed and with pointers to the wider literature. Taken together these surveys give a snapshot of the research frontier in contemporary combinatorics, helping researchers and graduate students in mathematics and theoretical computer science to keep abreast of the latest developments in the field.
Book Synopsis The Finite Simple Groups by : Robert Wilson
Download or read book The Finite Simple Groups written by Robert Wilson and published by Springer Science & Business Media. This book was released on 2009-12-12 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thisbookisintendedasanintroductiontoallthe?nitesimplegroups.During themonumentalstruggletoclassifythe?nitesimplegroups(andindeedsince), a huge amount of information about these groups has been accumulated. Conveyingthisinformationtothenextgenerationofstudentsandresearchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classi?cation Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian) ?nite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19].
Book Synopsis Symmetry and the Monster by : Mark Ronan
Download or read book Symmetry and the Monster written by Mark Ronan and published by Oxford University Press. This book was released on 2007-07-26 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an exciting, fast-paced historical narrative ranging across two centuries, Ronan takes readers on an exhilarating tour of this final mathematical quest to understand symmetry.
Book Synopsis Groups St Andrews 2009 in Bath: Volume 2 by : C. M. Campbell
Download or read book Groups St Andrews 2009 in Bath: Volume 2 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2011-06-16 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Eammon O'Brien, Mark Sapir and Dan Segal, survey the latest developments in algebra.
Download or read book Simon written by Alexander Masters and published by Delacorte Press. This book was released on 2012-02-28 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alexander Masters tripped over his first book subject on a Cambridge sidewalk, and the result was the multi-award-winning bestseller Stuart: A Life Backwards. His second, he’s found under his floorboards. One of the greatest mathematical prodigies of the twentieth century, Simon Norton stomps around Alexander’s basement in semidarkness, dodging between stalagmites of bus timetables and engorged plastic bags, eating tinned kippers stirred into packets of Bombay mix. Simon is exploring a theoretical puzzle so complex and critical to our understanding of the universe that it is known as the Monster. It looks like a sudoku table—except a sudoku table has nine columns of numbers. The Monster has 808017424794512875886459904961710757005754368000000000 columns. But that’s not the whole story. What’s inside the decaying sports bag he never lets out of his clutches? Why does he hurtle out of the house in the middle of the night? And—good God!—what is that noxious smell that creeps up the stairwell? Grumpy, poignant, comical—more intimate than either the author or his quarry intended—Simon: The Genius in My Basement is the story of a friendship and a pursuit. Part biography, part memoir, and part popular science, it is a study of the frailty of brilliance, the measures of happiness, and Britain’s most uncooperative egghead eccentric.
Book Synopsis Orthogonal Latin Squares Based on Groups by : Anthony B. Evans
Download or read book Orthogonal Latin Squares Based on Groups written by Anthony B. Evans and published by Springer. This book was released on 2018-08-17 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a unified exposition of latin squares and mutually orthogonal sets of latin squares based on groups. Its focus is on orthomorphisms and complete mappings of finite groups, while also offering a complete proof of the Hall–Paige conjecture. The use of latin squares in constructions of nets, affine planes, projective planes, and transversal designs also motivates this inquiry. The text begins by introducing fundamental concepts, like the tests for determining whether a latin square is based on a group, as well as orthomorphisms and complete mappings. From there, it describes the existence problem for complete mappings of groups, building up to the proof of the Hall–Paige conjecture. The third part presents a comprehensive study of orthomorphism graphs of groups, while the last part provides a discussion of Cartesian projective planes, related combinatorial structures, and a list of open problems. Expanding the author’s 1992 monograph, Orthomorphism Graphs of Groups, this book is an essential reference tool for mathematics researchers or graduate students tackling latin square problems in combinatorics. Its presentation draws on a basic understanding of finite group theory, finite field theory, linear algebra, and elementary number theory—more advanced theories are introduced in the text as needed.
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