Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup

Shi, Jiangtao, and Li, Na. "Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup." Czechoslovak Mathematical Journal 71.4 (2021): 1229-1233. <http://eudml.org/doc/297559>.

@article{Shi2021,
abstract = {Let $G$ be a finite group. We prove that if every self-centralizing subgroup of $G$ is nilpotent or subnormal or a TI-subgroup, then every subgroup of $G$ is nilpotent or subnormal. Moreover, $G$ has either a normal Sylow $p$-subgroup or a normal $p$-complement for each prime divisor $p$ of $|G|$.},
author = {Shi, Jiangtao, Li, Na},
journal = {Czechoslovak Mathematical Journal},
keywords = {self-centralizing; nilpotent; TI-subgroup; subnormal; $p$-complement},
language = {eng},
number = {4},
pages = {1229-1233},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup},
url = {http://eudml.org/doc/297559},
volume = {71},
year = {2021},
}

TY - JOUR
AU - Shi, Jiangtao
AU - Li, Na
TI - Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 4
SP - 1229
EP - 1233
AB - Let $G$ be a finite group. We prove that if every self-centralizing subgroup of $G$ is nilpotent or subnormal or a TI-subgroup, then every subgroup of $G$ is nilpotent or subnormal. Moreover, $G$ has either a normal Sylow $p$-subgroup or a normal $p$-complement for each prime divisor $p$ of $|G|$.
LA - eng
KW - self-centralizing; nilpotent; TI-subgroup; subnormal; $p$-complement
UR - http://eudml.org/doc/297559
ER -