Finite groups whose n-maximal subgroups are σ-subnormal
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DOI: 10.1007/s11425-016-9211-9
Abstract: Let σ = {σi | i ∈ I} be some partition of the set of all primes P. A set H of subgroups of G is said to be a complete Hallσ-set of G if… read more here.
Keywords: finite groups; subgroup; maximal subgroup; hall ... See more keywords
OVERGROUPS OF WEAK SECOND MAXIMAL SUBGROUPS
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DOI: 10.1017/s0004972718000904
Abstract: A subgroup $H$ is called a weak second maximal subgroup of $G$ if $H$ is a maximal subgroup of a maximal subgroup of $G$ . Let $m(G,H)$ denote the number of maximal subgroups of $G$… read more here.
Keywords: subgroup; overgroups weak; maximal subgroups; maximal subgroup ... See more keywords
On critical conditions of overgroups of weak second maximal subgroups
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DOI: 10.1080/00927872.2021.1888964
Abstract: Abstract A subgroup H of a finite group G is called a weak second maximal subgroup of G if there exists a maximal subgroup M of G such that H is a maximal subgroup of… read more here.
Keywords: maximal subgroups; maximal subgroup; second maximal; critical conditions ... See more keywords
Sylow towers in groups where the index of every non-nilpotent maximal subgroup is prime
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DOI: 10.1142/s0219498818501190
Abstract: In this paper, we prove that if every non-nilpotent maximal subgroup of a finite group G has prime index then G has a Sylow tower. read more here.
Keywords: maximal subgroup; nilpotent maximal; non nilpotent; every non ... See more keywords