Author:
Ballester-Bolinches A.,Kamornikov S. F.,Pérez-Calabuig V.,Tyutyanov V. N.
Abstract
AbstractGiven a non-empty set X of a group G, a subgroup A is said to be X-permutable (respectively, X-h-permutable) with a subgroup B, if $$AB^x = B^xA$$
A
B
x
=
B
x
A
, for some element $$x\in X$$
x
∈
X
(respectively, $$x \in X \cap \langle A,B\rangle $$
x
∈
X
∩
⟨
A
,
B
⟩
). A subgroup A of a group G is said to be X-permutable (respectively, X-h-permutable) in G if A is X-permutable (respectively, X-h-permutable) with every subgroup of G. In this paper, we study the structure of a finite group G with all its Schmidt subgroups G-permutable (respectively, G-h-permutable).
Publisher
Springer Science and Business Media LLC
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2 articles.
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