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

2016-01-25 Mathematics
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Release : 2016-01-25
Genre : Mathematics
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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.

Rank 2 Amalgams and Fusion Systems

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Book Rating : 617/5 ( reviews)

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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:

Descent Construction for GSpin Groups

2016-09-06 Mathematics
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Release : 2016-09-06
Genre : Mathematics
Kind : eBook
Book Rating : 670/5 ( reviews)

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Book Synopsis Descent Construction for GSpin Groups by : Joseph Hundley

Download or read book Descent Construction for GSpin Groups written by Joseph Hundley. This book was released on 2016-09-06. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the authors provide an extension of the theory of descent of Ginzburg-Rallis-Soudry to the context of essentially self-dual representations, that is, representations which are isomorphic to the twist of their own contragredient by some Hecke character. The authors' theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) GSpin2n to GL2n.

The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup

2016-06-21 Mathematics
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Release : 2016-06-21
Genre : Mathematics
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Book Rating : 770/5 ( reviews)

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Book Synopsis The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup by : U. Meierfrankenfeld

Download or read book The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup written by U. Meierfrankenfeld. This book was released on 2016-06-21. Available in PDF, EPUB and Kindle. Book excerpt: Let p be a prime, G a finite Kp-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., CG(Q)≤Q and NG(U)≤NG(Q) for 1≠U≤CG(Q)). Let L be any subgroup of G with S≤L, Op(L)≠1 and Q⋬L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup YL of L.

The $abc$-Problem for Gabor Systems

2016-10-05 Mathematics
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Release : 2016-10-05
Genre : Mathematics
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Book Rating : 155/5 ( reviews)

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Book Synopsis The $abc$-Problem for Gabor Systems by : Xin-Rong Dai

Download or read book The $abc$-Problem for Gabor Systems written by Xin-Rong Dai. This book was released on 2016-10-05. Available in PDF, EPUB and Kindle. Book excerpt: A longstanding problem in Gabor theory is to identify time-frequency shifting lattices aZ×bZ and ideal window functions χI on intervals I of length c such that {e−2πinbtχI(t−ma): (m,n)∈Z×Z} are Gabor frames for the space of all square-integrable functions on the real line. In this paper, the authors create a time-domain approach for Gabor frames, introduce novel techniques involving invariant sets of non-contractive and non-measure-preserving transformations on the line, and provide a complete answer to the above abc-problem for Gabor systems.

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