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Maximal Subgroups of Almost Subnormal Subgroups in Division Rings
Acta Mathematica Vietnamica, 2021A subgroup \(H\) of \(G\) is called ``almost subnormal'' if there exists a finite sequence of subgroups \(H=H_1 < H_2 < \dots
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OVERGROUPS OF WEAK SECOND MAXIMAL SUBGROUPS
Bulletin of the Australian Mathematical Society, 2018A 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 $G$ containing $H$. We prove that $m(G,H)-1$ divides the index of some maximal subgroup of $G$ when $H$ is a weak second maximal subgroup of $G$.
HANGYANG MENG, XIUYUN GUO
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Maximal and submaximal \(\mathfrak{X}\)-subgroups
Algebra i logika, 2018Let $X$ be a class of finite groups closed under taking subgroups, homomorphic images, and extensions. A subgroup $H$ of a finite group $G$ is called a submaximal $X$-subgroup if there exists an isomorphic embedding $\phi : G \hookrightarrow G^*$ of $G$ into some finite group $G^*$ under which $G^{\phi}$ is subnormal in $G^*$ and $H^{\phi} = K \cap G^{\
Guo, W., Revin, D. O.
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Maximal Subgroups of Infinite Symmetric Groups
Proceedings of the London Mathematical Society, 1994This work is concerned with maximal subgroups of \(S=\text{Sym}(\Omega)\) where \(\Omega\) is a set of infinite cardinality \(\kappa\). Known examples include stabilizers of finite sets, ``almost'' stabilizers of infinite sets \(\Sigma\) where \(| \Sigma|< \kappa\), and ``almost'' stabilizers of finite partitions.
Brazil, Marcus +4 more
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Maximal Subgroups of Infinite Symmetric Groups
Journal of the London Mathematical Society, 1990It is shown that if G is a permutation group on a countable set X and if G is not highly transitive, then G is contained in some maximal proper subgroup of the full symmetric group on X.
Macpherson, H. D., Praeger, Cheryl E.
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Two maximal subgroups of E8(2)
Israel Journal of Mathematics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Parker, Chris, Saxl, Jan
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Maximal Subgroups of Infinite Symmetric Groups
Canadian Mathematical Bulletin, 1967The purpose of this paper is to extend results of Ball [1] concerning maximal subgroups of the group S(X) of all permutations of the infinite set X. The basic idea is to consider S(X) as a group of operators on objects more complicated than X. The objects we consider here are subspaces of the Stone-Čech compactification of the discrete space X and the ...
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