On the theorem of Feit-Higman
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In case the structure is a generalized polygon, the irreducible representations of the algebra are computed and the theorem of Feit-Higman is deduced.About:
This article is published in Journal of Combinatorial Theory, Series A.The article was published on 1973-11-01 and is currently open access. It has received 28 citations till now. The article focuses on the topics: Filtered algebra & Algebra representation.read more
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Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques
Persi Diaconis,Arun Ram +1 more
TL;DR: In this article, the authors studied the problem of generating random elements of a finite group in order to fill n empty spaces with zeros and ones such that the probability of configuration x = (x1,..., xn) is θ n−|x|(1− θ)|x|, with |x| the number of ones in x.
Book ChapterDOI
Generalized polygons, SCABs and GABs
TL;DR: A survey of the development of building-like geometries can be found in this paper with a special emphasis on their relationship with finite geometrics, such as SCABs and GABs.
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Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques
Persi Diaconis,Arun Ram +1 more
TL;DR: In this article, the authors studied the problem of generating random elements of a finite group in order to fill n empty spaces with zeros and ones such that the probability of configuration x = (x1,..., xn) is θ n−|x|(1− θ)|x|, with |x| the number of ones in x.
Book ChapterDOI
Invariant Relations, Coherent Configurations and Generalized Polygons
TL;DR: A high point in the combinatorial approach to the theory of finite permutation groups is Wielandt's theory of invariant relations, culminating in his theorem on groups of degree p2 as mentioned in this paper.
References
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Representation Theory of Finite Groups and Associative Algebras
Charles W. Curtis,Irving Reiner +1 more
TL;DR: In this paper, the authors present a group theory representation and modular representation for algebraic number theory, including Semi-Semi-Simple Rings and Group Algebras, including Frobenius Algebraic numbers.
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Hecke algebras and characters of parabolic type of finite group with $(B, N)$-pairs
TL;DR: In this paper, the authors present a set of conditions générales d'utilisation of commercial or impression systématique, i.e., the copie ou impression de ce fichier doit contenir la présente mention de copyright.