On supplements of subgroups of finite groups
Xianhua Li; A. Ballester-Bolinches
Bollettino dell'Unione Matematica Italiana (2006)
- Volume: 9-B, Issue: 3, page 567-574
- ISSN: 0392-4041
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topLi, Xianhua, and Ballester-Bolinches, A.. "On supplements of subgroups of finite groups." Bollettino dell'Unione Matematica Italiana 9-B.3 (2006): 567-574. <http://eudml.org/doc/289633>.
@article{Li2006,
abstract = {In this paper the concept of s-pair for a subgroup of a finite group is introduced and studied. It provides a uniform way to study the influence of some families of subgroups on the structure of a finite group. A criterion for a finite group to belong to a saturated formation and necessary and sufficient conditions for solubility, supersolvability and nilpotence of a finite group are given.},
author = {Li, Xianhua, Ballester-Bolinches, A.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {567-574},
publisher = {Unione Matematica Italiana},
title = {On supplements of subgroups of finite groups},
url = {http://eudml.org/doc/289633},
volume = {9-B},
year = {2006},
}
TY - JOUR
AU - Li, Xianhua
AU - Ballester-Bolinches, A.
TI - On supplements of subgroups of finite groups
JO - Bollettino dell'Unione Matematica Italiana
DA - 2006/10//
PB - Unione Matematica Italiana
VL - 9-B
IS - 3
SP - 567
EP - 574
AB - In this paper the concept of s-pair for a subgroup of a finite group is introduced and studied. It provides a uniform way to study the influence of some families of subgroups on the structure of a finite group. A criterion for a finite group to belong to a saturated formation and necessary and sufficient conditions for solubility, supersolvability and nilpotence of a finite group are given.
LA - eng
UR - http://eudml.org/doc/289633
ER -
References
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