| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5772808 | Journal of Pure and Applied Algebra | 2017 | 7 Pages |
Abstract
A subgroup H of G is called complemented in G if there exists a subgroup K of G such that G=HK and Hâ©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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Long Miao, Juping Tang,