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- W1994544411 abstract "Brauer's Problem 1 asks the following: What are the possible complex group algebras of finite groups? It seems that with the present knowledge of representation theory it is not possible to settle this question. The goal of this paper is to present a partial solution to this problem. We conjecture that if the complex group algebra of a finite group does not have more than a fixed number m of isomorphic summands, then its dimension is bounded in terms of m. We prove that this is true for every finite group if it is true for the symmetric groups. The problem for symmetric groups reduces to an explicitly stated question in number theory or combinatorics." @default.
- W1994544411 created "2016-06-24" @default.
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- W1994544411 date "2007-01-01" @default.
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- W1994544411 title "Complex group algebras of finite groups: Brauer's Problem 1" @default.
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- W1994544411 doi "https://doi.org/10.1016/j.aim.2006.02.006" @default.
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