@article {
author = {Zhang, Cui},
title = {A note on finite groups with the indices of some maximal subgroups being primes},
journal = {International Journal of Group Theory},
volume = {6},
number = {2},
pages = {17-20},
year = {2017},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2017.12396},
abstract = {The Theorem 12 in [A note on $p$-nilpotence and solvability of finite groups, J. Algebra 321 (2009) 1555--1560.] investigated the non-abelian simple groups in which some maximal subgroups have primes indices. In this note we show that this result can be applied to prove that the finite groups in which every non-nilpotent maximal subgroup has prime index are solvable.},
keywords = {Non-abelian simple group,the index of maximal subgroup,solvable group},
url = {https://ijgt.ui.ac.ir/article_12396.html},
eprint = {https://ijgt.ui.ac.ir/article_12396_c6588acf55ed792ee5a449031ab6b69a.pdf}
}