Abstract
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.
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*The research of the first author is supported by the Natural Science Foundation of China (10161001) and the Natural Science Foundation of Guangxi of China
**The research of the second author is partially supported by the National Natural Science Foundation of China(10471085), the Shanghai Natural Science Foundation (Grant No. 03ZR), the Development Foundation of Shanghai Education Committee and the Special Funds for Major Specialities of Shanghai Education Committee
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Li*, S.R., Guo**, X.Y. Finite p–Groups Whose Abelian Subgroups Have a Trivial Intersection. Acta Math Sinica 23, 731–734 (2007). https://doi.org/10.1007/s10114-005-0795-y
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DOI: https://doi.org/10.1007/s10114-005-0795-y