ON SS-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS AND THEIR PROPERTIES
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 481-491
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A subgroup H of a finite group G is called SS-supplemented in G if there exists a subgroup K of G such that HK = G and H ∩ K is S-quasinormal in K. In this paper, we characterize the finite groups in which every subgroup is SS-supplemented and the influence of SS-supplementation of some subgroups on the structure of finite groups is considered. Some recent results on SS-quasinormal subgroups and C-supplemented subgroups are strengthened and enriched.
GUO, XIUYUN; LU, JIAKUAN. ON SS-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS AND THEIR PROPERTIES. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 481-491. doi: 10.1017/S0017089512000079
@article{10_1017_S0017089512000079,
author = {GUO, XIUYUN and LU, JIAKUAN},
title = {ON {SS-SUPPLEMENTED} {SUBGROUPS} {OF} {FINITE} {GROUPS} {AND} {THEIR} {PROPERTIES}},
journal = {Glasgow mathematical journal},
pages = {481--491},
year = {2012},
volume = {54},
number = {3},
doi = {10.1017/S0017089512000079},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000079/}
}
TY - JOUR AU - GUO, XIUYUN AU - LU, JIAKUAN TI - ON SS-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS AND THEIR PROPERTIES JO - Glasgow mathematical journal PY - 2012 SP - 481 EP - 491 VL - 54 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000079/ DO - 10.1017/S0017089512000079 ID - 10_1017_S0017089512000079 ER -
%0 Journal Article %A GUO, XIUYUN %A LU, JIAKUAN %T ON SS-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS AND THEIR PROPERTIES %J Glasgow mathematical journal %D 2012 %P 481-491 %V 54 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000079/ %R 10.1017/S0017089512000079 %F 10_1017_S0017089512000079
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