PreprintCC BY 4.0arXiv
On a finite group in which every non-supersolvable maximal subgroup is a TI-subgroup
Abstract
We provide a complete characterization of a finite group in which every non-supersolvable maximal subgroup is a TI-subgroup, which generalizes some known related results.
Related
- On a finite group in which every maximal subgroup of order divisible by p containing the normalizer of some Sylow subgroup is nilpotent
- On a finite group in which every non-nilpotent maximal invariant subgroup of order divisible by p is normal
- On the local Frattini subgroup of a finite group
- Finite groups whose proper subgroups of order divisible by p are supersolvable
- Generating the twist subgroup of the level $2$ mapping class group of a non-orientable closed surface
BibTeX
@misc{shi2026finite,
title = {{On a finite group in which every non-supersolvable maximal subgroup is a TI-subgroup}},
author = {Jiangtao Shi and Fanghua Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17537},
eprint = {2610.17537},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17537},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On a finite group in which every non-supersolvable maximal subgroup is a TI-subgroup
AU - Jiangtao Shi
AU - Fanghua Li
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.17537
UR - https://arxiv.org/abs/2610.17537
AB - We provide a complete characterization of a finite group in which every non-supersolvable maximal subgroup is a TI-subgroup, which generalizes some known related results.
ER -