ON MINIMAL WEAKLY s-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
2011 ◽
Vol 10
(05)
◽
pp. 811-820
◽
Keyword(s):
Suppose G is a finite group and H is subgroup of G. H is said to be s-permutable in G if HGp = GpH for any Sylow p-subgroup Gp of G; H is called weakly s-supplemented subgroup of G if there is a subgroup T of G such that G = HT and H ∩ T ≤ HsG, where HsG is the subgroup of H generated by all those subgroups of H which are s-permutable in G. We investigate the influence of minimal weakly s-supplemented subgroups on the structure of finite groups and generalize some recent results. Furthermore, we give a positive answer in the minimal subgroup case for Skiba's Open Questions in [On weakly s-permutable subgroups of finite groups, J. Algebra315 (2007) 192–209].
Keyword(s):
2018 ◽
Vol 17
(08)
◽
pp. 1850144
◽
2009 ◽
Vol 52
(1)
◽
pp. 145-150
◽
Keyword(s):
2014 ◽
Vol 56
(3)
◽
pp. 691-703
◽
2017 ◽
Vol 16
(12)
◽
pp. 1750224
Keyword(s):
Keyword(s):
2018 ◽
Vol 11
(1)
◽
pp. 160
Keyword(s):
2001 ◽
Vol 71
(2)
◽
pp. 169-176
◽
Keyword(s):