Results 11 to 20 of about 686,790 (292)
On theta pairs for a maximal subgroup [PDF]
Proceedings of the American Mathematical Society, 1990 For a maximal subgroup M M of a finite group G G , a Θ \Theta -pair is any pair of subgroups ( C , D ) (C,D) of G G such that (i) D ◃ G , D ⊂ C D \triangleleft G,D ...
Mukherjee, N. P., Bhattacharya, Prabir
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A New Maximal Subgroup of the Monster
Journal of Algebra, 2002 The article answers a longstanding open question about the existence of maximal subgroups of shape \(L_2(29):2\) in the Monster sporadic simple group \(M\). Using their computer construction of \(M\), the authors can prove that \(M\) contains exactly one conjugacy class of subgroups isomorphic to \(L_2(29)\) and that each of those groups is contained ...
Holmes, P.E., Wilson, R.A.
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On the maximality of the triangular subgroup [PDF]
Annales de l'Institut Fourier, 2018 We prove that the subgroup of triangular automorphisms of the complex affine n -space is maximal among all solvable subgroups of Aut (
Furter, Jean-Philippe +1 more
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Maximal subgroups of finite groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the whole group then it influences the structure of the group itself.
S. Srinivasan
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The index complex of a maximal subalgebra of a Lie algebra. [PDF]
, 2011 Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M.
Towers, David A.
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Maximal Inverse Subsemigroup and Maximal Subgroup of $Hyp_G(n)$
Asia Pacific Journal of Mathematics, 2023 Sarawut Phuapong, Ampika Boonmee
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The maximal subgroups of [PDF]
LMS Journal of Computation and Mathematics, 2015 Here we determine up to conjugacy all the maximal subgroups of the finite exceptional group of Lie-type$E_{7}(2)$.Supplementary materials are available with this article.
John Ballantyne +2 more
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A new maximal subgroup of E8 in characteristic 3 [PDF]
, 2021 We prove the existence and uniqueness up to conjugacy of a new maximal subgroup of the algebraic group of type E8 in characteristic 3. This has type F4, and was missing from previous lists of maximal subgroups produced by Seitz and Liebeck–Seitz. We also
Thomas, Adam +11 more
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When ${\rm Min}(G)^{-1}$ has a clopen $øldpi$-base [PDF]
Mathematica Bohemica, 2021 It is our aim to contribute to the flourishing collection of knowledge centered on the space of minimal prime subgroups of a given lattice-ordered group. Specifically, we are interested in the inverse topology. In general, this space is compact and $T_1$,
Ramiro Lafuente-Rodriguez +1 more
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Symmetric $1$-designs from $PSL_{2}(q),$ for $q$ a power of an odd prime [PDF]
Transactions on Combinatorics, 2021 Let $G = \PSL_{2}(q)$, where $q$ is a power of an odd prime. Let $M$ be a maximal subgroup of $G$. Define $\left\lbrace \frac{|M|}{|M \cap M^g|}: g \in G \right\rbrace$ to be the set of orbit lengths of the primitive action of $G$ on the ...
Xavier Mbaale, Bernardo Rodrigues
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