Overgroups of Sylow Subgroups in Sporadic Groups PDF Download
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Author: Michael Aschbacher
Publisher: American Mathematical Soc.
ISBN: 0821823442
Category : Sporadic groups
Languages : en
Pages : 242
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Book Description
The maximal overgroups of noncyclic Sylow subgroups of the sporadic finite simple groups are determined. Moreover a geometric structure is associated to this collection of overgroups, which is useful in the study of sporadic groups.
Author: Michael Aschbacher
Publisher: American Mathematical Soc.
ISBN: 0821823442
Category : Sporadic groups
Languages : en
Pages : 242
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Book Description
The maximal overgroups of noncyclic Sylow subgroups of the sporadic finite simple groups are determined. Moreover a geometric structure is associated to this collection of overgroups, which is useful in the study of sporadic groups.
Author: Michael Aschbacher
Publisher: Amer Mathematical Society
ISBN: 9780821840535
Category : Mathematics
Languages : en
Pages : 235
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Book Description
Author: Michael Aschbacher
Publisher:
ISBN:
Category :
Languages : en
Pages : 235
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Book Description
Author: Michael Aschbacher
Publisher: American Mathematical Soc.
ISBN: 1470418452
Category : Mathematics
Languages : en
Pages : 196
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Book Description
The author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular he determines the maximal subgroups of this form. He also determines the maximal overgroups of short root subgroups in finite classical groups and the maximal overgroups in finite orthogonal groups of c-root subgroups.
Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 0521694701
Category : Mathematics
Languages : en
Pages : 443
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Book Description
Selected papers from 'Groups St Andrews 2005' cover a wide spectrum of modern group theory.
Author: William M. Kantor
Publisher: Cambridge University Press
ISBN: 052146790X
Category : Mathematics
Languages : en
Pages : 324
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Book Description
Silk Hope, NC is a buoyant and moving parable in which two good women find, among the hidden, forgotten virtues of the past, a sustenance to carry them into the future.
Author: Carles Broto
Publisher: American Mathematical Soc.
ISBN: 1470437724
Category : Education
Languages : en
Pages : 115
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Book Description
For a finite group G of Lie type and a prime p, the authors compare the automorphism groups of the fusion and linking systems of G at p with the automorphism group of G itself. When p is the defining characteristic of G, they are all isomorphic, with a very short list of exceptions. When p is different from the defining characteristic, the situation is much more complex but can always be reduced to a case where the natural map from Out(G) to outer automorphisms of the fusion or linking system is split surjective. This work is motivated in part by questions involving extending the local structure of a group by a group of automorphisms, and in part by wanting to describe self homotopy equivalences of BG∧p in terms of Out(G).
Author: David J. Benson
Publisher: American Mathematical Soc.
ISBN: 0821844741
Category : Mathematics
Languages : en
Pages : 310
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Book Description
For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology.
Author: Martin W. Liebeck
Publisher: Cambridge University Press
ISBN: 0521406854
Category : Mathematics
Languages : en
Pages : 505
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Book Description
This volume contains a collection of papers on the subject of the classification of finite simple groups.
Author: Stephen D. Smith
Publisher: American Mathematical Soc.
ISBN: 0821805010
Category : Mathematics
Languages : en
Pages : 378
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Book Description
This book is intended as an overview of a research area that combines geometries for groups (such as Tits buildings and generalizations), topological aspects of simplicial complexes from $p$-subgroups of a group (in the spirit of Brown, Quillen, and Webb), and combinatorics of partially ordered sets. The material is intended to serve as an advanced graduate-level text and partly as a general reference on the research area. The treatment offers optional tracks for the reader interested in buildings, geometries for sporadic simple groups, and $G$-equivariant equivalences and homology for subgroup complexes.
