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Finite p-Groups Whose Abelian Subgroups Have a Trivial Intersection 被引量:4

Finite p-Groups Whose Abelian Subgroups Have a Trivial Intersection
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摘要 A subgroup H of a finite group G is called a TI-subgroup if H ∩ H^x = 1 or H for all x ∈ G. In this paper, a complete classification for finite p-groups, in which all abelian subgroups are TI-subgroups, is given. A subgroup H of a finite group G is called a TI-subgroup if H ∩ H^x = 1 or H for all x ∈ G. In this paper, a complete classification for finite p-groups, in which all abelian subgroups are TI-subgroups, is given.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第4期731-734,共4页 数学学报(英文版)
基金 the Natural Science Foundation of China(10161001) the Natural Science Foundation of Guangxi of China the National Natural Science Foundation of Shanghai Education Committee Special Funds for Major Specialities of Shanghai Education Committee
关键词 P-GROUPS Abelian subgroups TI-subgroups p-groups, Abelian subgroups, TI-subgroups
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