Ping Kang, "Finite Group with c-Normal or s-Quasinormally Embedded Subgroups," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Ping Kang. Finite Group with c-Normal or s-Quasinormally Embedded Subgroups.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Finite Group with c-Normal or s-Quasinormally Embedded Subgroups
Author:
Abstract: If P is a p-group for some prime $$p$$ we shall write $$M(P)$$ to denote the set of all maximal subgroups of $$P$$ and $$M_{d}(P) = \left \{ P_{1}, ..., P_{d}
\right \}$$ to denote any set of maximal subgroups of $$P$$ such that $$\bigcap_{i=1}^{d} P_{i} = Φ(P)$$ and $$d$$ is as small as possible. In this paper, the structure of a finite group $$G$$ under some assumptions on the c-normal or s-quasinormally embedded subgroups in $$M_{d}(P)$$, or each prime $$p$$, , and Sylow p-subgroups $$P$$ of $$G$$ is researched. Some known results are generalized.
Keywords:
C-normal subgroup, s-quasinormally embedded subgroup, supersolvable groups, Sylow p-subgroup, Finite groups
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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