LAUSR

GENERATION OF SECOND MAXIMAL SUBGROUPS AND THE EXISTENCE OF SPECIAL PRIMES

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0 Published in 2017 at "Forum of Mathematics, Sigma"

DOI: 10.1017/fms.2017.21

Abstract: Let $G$ be a finite almost simple group. It is well known that $G$ can be generated by three elements, and in previous work we showed that 6 generators suffice for all maximal subgroups of… read more here.

Keywords: maximal subgroups; generation second; second maximal; subgroups existence ... See more keywords

OVERGROUPS OF WEAK SECOND MAXIMAL SUBGROUPS

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0 Published in 2018 at "Bulletin of the Australian Mathematical Society"

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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1 Published in 2021 at "Communications in Algebra"

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