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Groups Modular Mathematics Series

Groups   Modular Mathematics Series Author Camilla Jordan
ISBN-10 9780080571652
Release 1994-07-01
Pages 224
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This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures arising from symmetry in geometrical figures and other mathematical objects. Written in a 'user-friendly' style, where new ideas are always motivated before being fully introduced, the text will help readers to gain confidence and skill in handling group theory notation before progressing on to applying it in complex situations. An ideal companion to any first or second year course on the topic.



Groups

Groups Author Camilla R. Jordan
ISBN-10 9780340610459
Release 1994-01
Pages 207
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Introduction to mathematical groups



Modular Representations of Finite Groups of Lie Type

Modular Representations of Finite Groups of Lie Type Author James E. Humphreys
ISBN-10 0521674549
Release 2006-01
Pages 233
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Comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.



Rings Fields and Groups

Rings  Fields and Groups Author R. B. J. T. Allenby
ISBN-10 0340544406
Release 1991
Pages 383
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Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses



Groups Rings and Fields

Groups  Rings and Fields Author David A.R. Wallace
ISBN-10 9781447104254
Release 2012-12-06
Pages 248
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This is a basic introduction to modern algebra, providing a solid understanding of the axiomatic treatment of groups and then rings, aiming to promote a feeling for the evolutionary and historical development of the subject. It includes problems and fully worked solutions, enabling readers to master the subject rather than simply observing it.



Subgroup Lattices of Groups

Subgroup Lattices of Groups Author Roland Schmidt
ISBN-10 3110112132
Release 1994
Pages 572
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The central theme of this volume is the relation between the structure of a group and the structure of its lattice of subgroups. The volume contains nine chapters: fundamental concepts; modular lattices and abelian groups; complements and special elements in the subgroup lattice of a group; projectivities and arithmetic structure of infinite groups; projectivities and normal structure of finite groups; projectivities and normal structure of infinite groups; classes of groups and their projectivities; dualities of subgroup lattices, and further lattices. The volume contains a large number of exercises and is the only text on subgroup lattices since Suzuki's 1956 Structure of a Group and the Structure of Its Lattice of Subgroups (Berlin: Heidelberg, New York: Springer-Verlag). Annotation copyright by Book News, Inc., Portland, OR



Finite Groups

Finite Groups Author Bertram A. F. Wehrfritz
ISBN-10 9810238746
Release 1999
Pages 123
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The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics. Its proofs often have elegance and crystalline beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day.



Proceedings of Groups St Andrews 1985

Proceedings of Groups   St  Andrews 1985 Author E. F. Robertson
ISBN-10 0521338549
Release 1986
Pages 358
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A current picture of progress and research in group theory is provided by five leading group theorists Bachmuth, Baumslag, Neumann, Roseblade and Tits.



Characters and Blocks of Finite Groups

Characters and Blocks of Finite Groups Author Gabriel Navarro
ISBN-10 0521595134
Release 1998-05-07
Pages 287
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This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups.



Modular Functions and Dirichlet Series in Number Theory

Modular Functions and Dirichlet Series in Number Theory Author Tom M. Apostol
ISBN-10 9781461209997
Release 2012-12-06
Pages 207
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A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.



Groups St Andrews 1989

Groups St Andrews 1989 Author C. M. Campbell
ISBN-10 0521406692
Release 1991-03-21
Pages 260
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These two volumes contain selected papers presented at the international conference on group theory held at St. Andrews in 1989. The themes of the conference were combinatorial and computational group theory; leading group theorists, including J.A. Green, N.D. Gupta, O.H. Kegel and J.G. Thompson, gave courses whose content is reproduced here. Also included are refereed papers presented at the meeting.



Representations of Groups

Representations of Groups Author Klaus Lux
ISBN-10 9781139489188
Release 2010-07-01
Pages
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The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this well-paced text is ideal for graduate-level study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real hands-on work. GAP is freely available from www.gap-system.org and readers can download source code and solutions to selected exercises from the book's web page.



Subgroups of Teichmuller Modular Groups

Subgroups of Teichmuller Modular Groups Author Nikolai V. Ivanov
ISBN-10 0821897438
Release 1992-12-28
Pages 127
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Subgroups of Teichmuller Modular Groups has been writing in one form or another for most of life. You can find so many inspiration from Subgroups of Teichmuller Modular Groups also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Subgroups of Teichmuller Modular Groups book for free.



Character Theory of Finite Groups

Character Theory of Finite Groups Author Mark L. Lewis
ISBN-10 9780821848272
Release 2010-09-17
Pages 179
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This volume contains a collection of papers from the Conference on Character Theory of Finite Groups, held at the Universitat de Valencia, Spain, on June 3-5, 2009, in honor of I. Martin Isaacs. The topics include permutation groups, character theory, p-groups, and group rings. The research articles feature new results on large normal abelian subgroups of p-groups, construction of certain wreath products, computing idempotents in group algebras of finite groups, and using dual pairs to study representations of cross characteristic in classical groups. The expository articles present results on vertex subgroups, measuring theorems in permutation groups, the development of super character theory, and open problems in character theory.



Representation Theory of Finite Groups

Representation Theory of Finite Groups Author Martin Burrow
ISBN-10 9780486145075
Release 2014-05-05
Pages 208
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DIVConcise, graduate-level exposition covers representation theory of rings with identity, representation theory of finite groups, more. Exercises. Appendix. 1965 edition. /div



Representation Theory and Automorphic Forms

Representation Theory and Automorphic Forms Author Toshiyuki Kobayashi
ISBN-10 9780817646462
Release 2007-10-10
Pages 214
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This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.



Moonshine of Finite Groups

 Moonshine  of Finite Groups Author Koichiro Harada
ISBN-10 3037190906
Release 2010
Pages 76
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Moonshine of Finite Groups has been writing in one form or another for most of life. You can find so many inspiration from Moonshine of Finite Groups also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Moonshine of Finite Groups book for free.