Order evaluation of products of subsets in finite groups and its applications. II
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- by Z. Arad and M. Muzychuk PDF
- Trans. Amer. Math. Soc. 349 (1997), 4401-4414 Request permission
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.References
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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
- MR Author ID: 249196
- 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. - © Copyright 1997 American Mathematical Society
- 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