Order evaluation of products of subsets in finite groups and its applications. II-Reference-Cited by-同舟云学术

Order evaluation of products of subsets in finite groups and its applications. II

Published:1997 Issue:11 Volume:349 Page:4401-4414
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Arad Z.,Muzychuk M.

Abstract

In this paper we give a new estimate of the cardinality of the product of subsets A B AB in a finite non-abelian simple group, where A A is normal and B B is arbitrary. This estimate improves the one given in J. Algebra 182 (1996), 577–603.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1997-349-11/S0002-9947-97-01866-7/S0002-9947-97-01866-7.pdf

Reference8 articles.

1. On table algebras and applications to finite group theory;Arad, Zvi;J. Algebra,1991

2. Z.Arad, E.Fisman, M.Muzychuk. Order evaluation of products of subsets in finite groups and its applications.I, J. Algebra 182 (1996), 577–603.

3. The primitive permutation groups of degree less than 1000;Dixon, John D.;Math. Proc. Cambridge Philos. Soc.,1988

4. Finite groups which contain a self-centralizing subgroup of order 3;Feit, Walter;Nagoya Math. J.,1962

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