Conditions for p-supersolubility and p-nilpotency of finite soluble groups

Wenai Yan, Baojun Li, and Zhirang Zhang. "Conditions for p-supersolubility and p-nilpotency of finite soluble groups." Colloquium Mathematicae 133.1 (2013): 85-98. <http://eudml.org/doc/284160>.

@article{WenaiYan2013,
abstract = {Let ℨ be a complete set of Sylow subgroups of a group G. A subgroup H of G is called ℨ-permutably embedded in G if every Sylow subgroup of H is also a Sylow subgroup of some ℨ-permutable subgroup of G. By using this concept, we obtain some new criteria of p-supersolubility and p-nilpotency of a finite group.},
author = {Wenai Yan, Baojun Li, Zhirang Zhang},
journal = {Colloquium Mathematicae},
keywords = {finite groups; complete sets of Sylow subgroups; -nilpotency; -supersolubility; -permutably embedded subgroups},
language = {eng},
number = {1},
pages = {85-98},
title = {Conditions for p-supersolubility and p-nilpotency of finite soluble groups},
url = {http://eudml.org/doc/284160},
volume = {133},
year = {2013},
}

TY - JOUR
AU - Wenai Yan
AU - Baojun Li
AU - Zhirang Zhang
TI - Conditions for p-supersolubility and p-nilpotency of finite soluble groups
JO - Colloquium Mathematicae
PY - 2013
VL - 133
IS - 1
SP - 85
EP - 98
AB - Let ℨ be a complete set of Sylow subgroups of a group G. A subgroup H of G is called ℨ-permutably embedded in G if every Sylow subgroup of H is also a Sylow subgroup of some ℨ-permutable subgroup of G. By using this concept, we obtain some new criteria of p-supersolubility and p-nilpotency of a finite group.
LA - eng
KW - finite groups; complete sets of Sylow subgroups; -nilpotency; -supersolubility; -permutably embedded subgroups
UR - http://eudml.org/doc/284160
ER -