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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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


Authors: Z. Arad and M. Muzychuk
Journal: Trans. Amer. Math. Soc. 349 (1997), 4401-4414
MSC (1991): Primary 20D99, 05A99; Secondary 05C25
DOI: https://doi.org/10.1090/S0002-9947-97-01866-7
MathSciNet review: 1407477
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Abstract: In this paper we give a new estimate of the cardinality of the product of subsets $AB$ in a finite non-abelian simple group, where $A$ is normal and $B$ is arbitrary. This estimate improves the one given in J. Algebra 182 (1996), 577-603.


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Additional Information

Z. Arad
Affiliation: Department of Mathematics & Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel

M. Muzychuk
Affiliation: Department of Mathematics & Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel

DOI: https://doi.org/10.1090/S0002-9947-97-01866-7
Received by editor(s): September 25, 1995
Additional Notes: This work was done at the Gelbart and Emmy Noether Research Institutes for Mathematical Sciences at Bar-Ilan University.
The second author was supported by the research grants from the Israeli Ministry of Science and the German-Israeli Foundation for fundamental research.
Article copyright: © Copyright 1997 American Mathematical Society