On groups with conjugate-permutable subgroups
According to Foguel, a subgroup [Formula: see text] of a group [Formula: see text] is called conjugate-permutable if [Formula: see text] for every [Formula: see text]. Mingyao Xu and Qinhai Zhang studied finite groups with every subgroup conjugate-permutable (ECP-groups) and asked three questions about them. We gave the answers to these questions. In particular, every group of exponent 3 is an ECP-group, there exist non-regular ECP-[Formula: see text]-groups and the class of all finite ECP-groups is neither a formation nor a variety.
2017 ◽
Vol 5
(1)
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pp. 83-92
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Keyword(s):
2015 ◽
Vol 179
(4)
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pp. 523-534
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2011 ◽
Vol 10
(05)
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pp. 811-820
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Keyword(s):