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Rank 2 Amalgams and Fusion Systems

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Book Synopsis Rank 2 Amalgams and Fusion Systems by : Martin van Beek

Download or read book Rank 2 Amalgams and Fusion Systems written by Martin van Beek. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4

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Release : 2016-01-25
Genre : Mathematics
Kind : eBook
Book Rating : 488/5 ( reviews)

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Book Synopsis Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4 by : Bob Oliver

Download or read book Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4 written by Bob Oliver. This book was released on 2016-01-25. Available in PDF, EPUB and Kindle. Book excerpt: The author classifies all reduced, indecomposable fusion systems over finite -groups of sectional rank at most . The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional -rank at most . But this method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems.

Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type

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Release : 2020-02-13
Genre : Education
Kind : eBook
Book Rating : 724/5 ( reviews)

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Book Synopsis Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type by : Carles Broto

Download or read book Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type written by Carles Broto. This book was released on 2020-02-13. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Rank-2-amalgams with dihedral groups as residues

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Release : 1993
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Book Synopsis Rank-2-amalgams with dihedral groups as residues by : Jens Voß

Download or read book Rank-2-amalgams with dihedral groups as residues written by Jens Voß. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:

The Classification of Quasithin Groups

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Release : 2004
Genre : Computers
Kind : eBook
Book Rating : 118/5 ( reviews)

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Book Synopsis The Classification of Quasithin Groups by : Michael Aschbacher

Download or read book The Classification of Quasithin Groups written by Michael Aschbacher. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: In around 1980, G. Mason announced the classification of a subclass of an important class of finite simple groups known as 'quasithin groups'. In the main theorem of this two-part work the authors provide a proof of a stronger theorem classifying a larger class of groups independently of Mason's research.

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