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A new condition for solvable groups.
- Source :
-
Journal of Pure & Applied Algebra . Oct2017, Vol. 221 Issue 10, p2504-2510. 7p. - Publication Year :
- 2017
-
Abstract
- A subgroup H of G is called complemented in G if there exists a subgroup K of G such that G = H K and H ∩ K = 1 . The aim of this paper is to prove the following: A finite group G is solvable if and only if its Sylow 3-, 5- and 7-subgroups are complemented in G . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 221
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 122880505
- Full Text :
- https://doi.org/10.1016/j.jpaa.2016.12.035