ON A FINITE GROUP IN WHICH EVERY NON-ABELIAN SUBGROUP IS A TI-SUBGROUP-Reference-Cited by-同舟云学术

ON A FINITE GROUP IN WHICH EVERY NON-ABELIAN SUBGROUP IS A TI-SUBGROUP

Published:2012-12-20 Issue:03 Volume:12 Page:1250178
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

SHI JIANGTAO¹,ZHANG CUI¹²,MENG WEI³

Affiliation:

1. School of Mathematics and Information Science, Yantai University, Yantai 264005, P. R. China

2. University of Primorska, IAM, Muzejski trg 2, 6000 Koper, Slovenia

3. School of Mathematics and Computer Sciences, Yunnan University of Nationalities, Kunming 650031, P. R. China

Abstract

A subgroup H of a finite group G is said to be a TI-subgroup if Hg ∩ H = 1 or H for every g ∈ G. In this paper, we obtain two different equivalent characterizations of a finite group in which every non-abelian subgroup is a TI-subgroup.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498812501782

Reference5 articles.

1. On trivial intersection of cyclic Sylow subgroups

2. Finite groups whose abelian subgroups are TI-subgroups

3. A Course in the Theory of Groups

4. Trivial intersection groups

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