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On maximal subgroups of Thompson’s group $F$

Groups, Geometry, and Dynamics, 2022
We study subgroups of Thompson's group $F$ by means of an automaton associated with them. We prove that every maximal subgroup of $F$ of infinite index is closed, that is, it coincides with the subgroup of $F$ accepted by the automaton associated with it.
Gili Golan Polak
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Maximal d-subgroups and ultrafilters

Rendiconti del Circolo Matematico di Palermo Series 2, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhattacharjee, Papiya   +1 more
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On Maximal Subgroups of Nonsolvable Groups

Siberian Mathematical Journal, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Dong, L. Miao, J. Zhang, J. Zhao
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The maximal subgroups of Fi22

Mathematical Proceedings of the Cambridge Philosophical Society, 1987
This paper is a successor of the second author's paper [ibid. 95, 197-222 (1984; Zbl 0551.20010)]. Here all maximal subgroups of the sporadic Fischer simple group Fi(22) and its automorphism group are determined. Working with a 77-dimensional representation over GF(2) for some computations a computer was used.
Kleidman, Peter B., Wilson, Robert A.
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On 2-maximal subgroups of finite groups

Communications in Algebra, 2021
We distinguish 2-maximal and strictly 2-maximal subgroups of a finite group and give examples of soluble and simple groups in which every 2-maximal subgroup is strictly 2-maximal. Let M be a maximal subgroup of a group G.
M. N. Konovalova, V. Monakhov, I. Sokhor
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Maximal Homotopy Lie Subgroups of Maximal Rank

Canadian Journal of Mathematics, 1988
Let G be a compact connected Lie group with H a connected subgroup of maximal rank. Suppose there exists a compact connected Lie subgroup K with H ⊂ K ⊂ G. Then there exists a smooth fiber bundle G/H → G/K with K/H as the fiber ...
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Maximal Subgroups of Almost Subnormal Subgroups in Division Rings

Acta Mathematica Vietnamica, 2021
A 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, 2018
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 $G$ 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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On co-maximal subgroup graph of a group-II

Ricerche di Matematica, 2023
Angsuman Das, M. Saha
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Maximal and submaximal \(\mathfrak{X}\)-subgroups

Algebra i logika, 2018
Let $X$ 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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