On TI-subgroups and QTI-subgroups of finite groups

Ruifang Chen; Xianhe Zhao

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 1, page 179-185
  • ISSN: 0011-4642

Abstract

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Let G be a group. A subgroup H of G is called a TI-subgroup if H ∩ H g = 1 or H for every g ∈ G and H is called a QTI-subgroup if C G ( x ) ≤ N G ( H ) for any 1 ≠ x ∈ H . In this paper, a finite group in which every nonabelian maximal is a TI-subgroup (QTI-subgroup) is characterized.

How to cite

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Chen, Ruifang, and Zhao, Xianhe. "On TI-subgroups and QTI-subgroups of finite groups." Czechoslovak Mathematical Journal 70.1 (2020): 179-185. <http://eudml.org/doc/297161>.

@article{Chen2020,
abstract = {Let $G$ be a group. A subgroup $H$ of $G$ is called a TI-subgroup if $H\cap H^g=1$ or $H$ for every $g\in G$ and $H$ is called a QTI-subgroup if $C_G(x) \le N_G(H)$ for any $1\ne x\in H$. In this paper, a finite group in which every nonabelian maximal is a TI-subgroup (QTI-subgroup) is characterized.},
author = {Chen, Ruifang, Zhao, Xianhe},
journal = {Czechoslovak Mathematical Journal},
keywords = {TI-subgroup; QTI-subgroup; maximal subgroup; Frobenius group; solvable group},
language = {eng},
number = {1},
pages = {179-185},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On TI-subgroups and QTI-subgroups of finite groups},
url = {http://eudml.org/doc/297161},
volume = {70},
year = {2020},
}

TY - JOUR
AU - Chen, Ruifang
AU - Zhao, Xianhe
TI - On TI-subgroups and QTI-subgroups of finite groups
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 1
SP - 179
EP - 185
AB - Let $G$ be a group. A subgroup $H$ of $G$ is called a TI-subgroup if $H\cap H^g=1$ or $H$ for every $g\in G$ and $H$ is called a QTI-subgroup if $C_G(x) \le N_G(H)$ for any $1\ne x\in H$. In this paper, a finite group in which every nonabelian maximal is a TI-subgroup (QTI-subgroup) is characterized.
LA - eng
KW - TI-subgroup; QTI-subgroup; maximal subgroup; Frobenius group; solvable group
UR - http://eudml.org/doc/297161
ER -

References

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