Let H and T be subgroups of a finite group G. H is said to be permutable with T in G if HT = TH. In this paper, we use the concept of permutable subgroups to give two new criterions of supersolubility of the product G = AB of finite supersoluble groups A and B.
LIU Xi, LI Baojun, YI Xiaolan
. Some criteria for supersolubility in products
of finite groups[J]. Frontiers of Mathematics in China, 2008
, 3(1)
: 79
-86
.
DOI: 10.1007/s11464-008-0007-z
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