Finite p–Groups Whose Abelian Subgroups Have a Trivial Intersection

A subgroup H of a finite group G is called a TI-subgroup if H H^sup ^sup 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.[PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2007-04, Vol.23 (4), p.731-734
Main Authors: Li, Shi Rong, Guo, Xiu Yun
Format: Article
Language:English
Subjects:
Algebraic group theory
Classification
Generators
Intersections
Mathematical analysis
Studies
Subgroups
Titanium
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Summary:A subgroup H of a finite group G is called a TI-subgroup if H H^sup ^sup 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.[PUBLICATION ABSTRACT]
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-005-0795-y