Twelve Sporadic Groups
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Author | : Robert L. Jr. Griess |
Publisher | : Springer Science & Business Media |
Total Pages | : 175 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 3662035162 |
The 20 sporadics involved in the Monster, the largest sporadic group, constitute the Happy Family. This book is a leisurely and rigorous study of two of their three generations. The level is suitable for graduate students with little background in general finite group theory, established mathematicians and mathematical physicists.
Author | : Robert L. Jr. Griess |
Publisher | : Springer Science & Business Media |
Total Pages | : 184 |
Release | : 1998-08-19 |
Genre | : Mathematics |
ISBN | : 9783540627784 |
The 20 sporadics involved in the Monster, the largest sporadic group, constitute the Happy Family. This book is a leisurely and rigorous study of two of their three generations. The level is suitable for graduate students with little background in general finite group theory, established mathematicians and mathematical physicists.
Author | : Aleksandr Anatolievich Ivanov |
Publisher | : Cambridge University Press |
Total Pages | : 306 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0521623499 |
The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.
Author | : Robert L. Jr. Griess |
Publisher | : |
Total Pages | : 180 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662035177 |
Author | : Robert Wilson |
Publisher | : Springer Science & Business Media |
Total Pages | : 310 |
Release | : 2009-12-12 |
Genre | : Mathematics |
ISBN | : 1848009887 |
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].
Author | : Aleksandr Anatolievich Ivanov |
Publisher | : Cambridge University Press |
Total Pages | : 267 |
Release | : 2009-03-19 |
Genre | : Mathematics |
ISBN | : 0521889944 |
A rigorous construction and uniqueness proof for the Monster group, detailing its relation to Majorana involutions.
Author | : Alexander A. Ivanov |
Publisher | : Clarendon Press |
Total Pages | : 250 |
Release | : 2004-11-04 |
Genre | : Mathematics |
ISBN | : 0191523623 |
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.
Author | : Mark Ronan |
Publisher | : Oxford University Press |
Total Pages | : 264 |
Release | : 2007-07-26 |
Genre | : Biography & Autobiography |
ISBN | : 0192807234 |
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.
Author | : Michael Aschbacher |
Publisher | : American Mathematical Soc. |
Total Pages | : 362 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821853368 |
Provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the 'even case', where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of 'noncharacteristic 2 type'.
Author | : Daniel Gorenstein |
Publisher | : American Mathematical Soc. |
Total Pages | : 446 |
Release | : 1994 |
Genre | : Finite simple groups |
ISBN | : 9780821803912 |
Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR