# 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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- BALLESTER-BOLINCHES, A. - GUO, XIUYUN and WANG, YANMING, c-supplemented subgroups of finite groups, Glasgow Math. J., 42 (3) (2000), 383-389. Zbl0968.20009
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- WANG, Y., C-Normality of Groups and its properties, J. of Algebra, 180 (1996), 954-965. Zbl0847.20010
- YAOQING, ZHAO, On the Deskins completions, theta completions and theta Pairs for maximal subgroups, Comm. Algebra, 26 (10) (1998), 3141-3153. Zbl0911.20017
- YAOQING, ZHAO and SHIRONG, LI, On Theta Pairs for Maximal Subgroups, J. Pure and Applied Algebra, 147 (2000), 133-142. Zbl0981.20010

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