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On the product of a π-group and a π-decomposable group
- Source :
-
Journal of Algebra . Sep2007, Vol. 315 Issue 2, p640-653. 14p. - Publication Year :
- 2007
-
Abstract
- Abstract: The main result in the paper states the following: Let π be a set of odd primes. Let the finite group be the product of a π-decomposable subgroup and a π-subgroup B. Then ; equivalently the group G possesses Hall π-subgroups. In this case is a Hall π-subgroup of G. This result extends previous results of Berkovich (1966), Rowley (1977), Arad and Chillag (1981) and Kazarin (1980) where stronger hypotheses on the factors A and B of the group G were being considered. The results under consideration in the paper provide in particular criteria for the existence of non-trivial soluble normal subgroups for a factorized group G. [Copyright &y& Elsevier]
- Subjects :
- *FINITE groups
*GROUP theory
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 315
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 26246370
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2007.06.004