On E-S-supplemented subgroups of finite groups

Changwen Li; Xuemei Zhang; Xiaolan Yi

Colloquium Mathematicae (2013)

  • Volume: 131, Issue: 1, page 41-51
  • ISSN: 0010-1354

Abstract

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The major aim of the present paper is to strengthen a nice result of Shemetkov and Skiba which gives some conditions under which every non-Frattini G-chief factor of a normal subgroup E of a finite group G is cyclic. As applications, some recent known results are generalized and unified.

How to cite

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Changwen Li, Xuemei Zhang, and Xiaolan Yi. "On E-S-supplemented subgroups of finite groups." Colloquium Mathematicae 131.1 (2013): 41-51. <http://eudml.org/doc/283621>.

@article{ChangwenLi2013,
abstract = {The major aim of the present paper is to strengthen a nice result of Shemetkov and Skiba which gives some conditions under which every non-Frattini G-chief factor of a normal subgroup E of a finite group G is cyclic. As applications, some recent known results are generalized and unified.},
author = {Changwen Li, Xuemei Zhang, Xiaolan Yi},
journal = {Colloquium Mathematicae},
keywords = {finite groups; supplemented subgroups; -nilpotency; supplementations; subgroup embedding properties; Sylow subgroups; chief factors; subnormal subgroups; permutably embedded subgroups},
language = {eng},
number = {1},
pages = {41-51},
title = {On E-S-supplemented subgroups of finite groups},
url = {http://eudml.org/doc/283621},
volume = {131},
year = {2013},
}

TY - JOUR
AU - Changwen Li
AU - Xuemei Zhang
AU - Xiaolan Yi
TI - On E-S-supplemented subgroups of finite groups
JO - Colloquium Mathematicae
PY - 2013
VL - 131
IS - 1
SP - 41
EP - 51
AB - The major aim of the present paper is to strengthen a nice result of Shemetkov and Skiba which gives some conditions under which every non-Frattini G-chief factor of a normal subgroup E of a finite group G is cyclic. As applications, some recent known results are generalized and unified.
LA - eng
KW - finite groups; supplemented subgroups; -nilpotency; supplementations; subgroup embedding properties; Sylow subgroups; chief factors; subnormal subgroups; permutably embedded subgroups
UR - http://eudml.org/doc/283621
ER -

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