Finite groups with permutable Hall subgroups  被引量:1

Finite groups with permutable Hall subgroups

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作  者:Xia YIN Nanying YANG 

机构地区:[1]School of Science, Jiangnan University, Wuxi 214122, China

出  处:《Frontiers of Mathematics in China》2017年第5期1265-1275,共11页中国高等学校学术文摘·数学(英文)

摘  要:Throughout this paper, all groups are finite and G always denotes a finite group. We use π(G) to denote the set of all primes dividing |G|. A subgroup A of G is said to permute with a subgroup B if AB = BA. In this case, we say also that the subgroups A and B are permutable.Throughout this paper, all groups are finite and G always denotes a finite group. We use π(G) to denote the set of all primes dividing |G|. A subgroup A of G is said to permute with a subgroup B if AB = BA. In this case, we say also that the subgroups A and B are permutable.

关 键 词:Finite group Hall subgroup complete Hall or-set permutablesubgroup supersoluble group 

分 类 号:O152.1[理学—数学]

 

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