Open AccessSupersoluble Groups and Its Products
Author(s) -
Behnam Razzaghmaneshi
Publication year - 2020
Language(s) - English
DOI - 10.47363/jeast/2020(2)108
Subject(s) - permutable prime , mathematics , product (mathematics) , combinatorics , group (periodic table) , physics , geometry , quantum mechanics
Two subgroups A and B of a group G are called permutable if every subgroup X of A is permutable with every subgroup Y of B, i.e., XYis a subgroup of G. In this case, if G=AB we say that G is the permutable product of the subgroups A and B. In this paper we check the permutable product of supersoluble subgroups. And the end, we obtain sufficient conditions for permutable products of finite supersoluble groups to be supersoluble.