|
Order evaluation of products of subsets in finite groups and its applications. II
Author(s):
Z.
Arad;
M.
Muzychuk
Journal:
Trans. Amer. Math. Soc.
349
(1997),
4401-4414.
MSC (1991):
Primary 20D99, 05A99;
Secondary 05C25
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
In this paper we give a new estimate of the cardinality of the product of subsets  in a finite non-abelian simple group, where  is normal and  is arbitrary. This estimate improves the one given in J. Algebra 182 (1996), 577-603.
References:
- 1.
- Z.Arad, H.Blau, On table algebras and their applications to finite group theory, J. Algebra, 138 (1991), 137-185. MR 92f:20007
- 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. CMP 96:15
- 3.
- I.D.Dixon, B. Mortimer. The primitive permutation groups of degree less than 1000, Math. Proc. Camb. Phil. Soc., 103 (1988), 213-238. MR 89b:20014
- 4.
- W.Feit. Characters of Finite Groups, Benjamin, New York, Amsterdam, 1967. MR 36:2715
- 5.
- W.Feit and J.Thompson. Finite groups which contain a self-centralizing subgroup of order 3. Nagoya Math. J. 21, (1962), pp. 185-197. MR 26:192
- 6.
- B.Huppert, N.Blackburn, Finite groups II, Springer-Verlag, 1982. MR 84i:20001a
- 7.
- I.M.Isaacs and Ilan Zisser. Squares of characters with a few constituents in finite groups. Arch. Math. 63, 1994, pp. 197-207. MR 95e:20015
- 8.
- B.A.Pogorelov, Primitive groups of permutations of small degrees. II, Algebra i Logika, 19 1980, n.4, pp. 423-457. MR 82j:20009b
Similar Articles:
Retrieve articles in Transactions of the American Mathematical Society
with MSC
(1991):
20D99, 05A99,
05C25
Retrieve articles in all Journals with MSC
(1991):
20D99, 05A99,
05C25
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:
10.1090/S0002-9947-97-01866-7
PII:
S 0002-9947(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.
Copyright of article:
Copyright
1997,
American Mathematical Society
|
Comments: webmaster@ams.org