Results 11 to 20 of about 1,311,957 (357)
Free subgroups in maximal subgroups of skew linear groups [PDF]
International Journal of Algebra and Computation, 2018 The study of the existence of free groups in skew linear groups have begun since the last decades of the 20th century. The starting point is the theorem of Tits (1972), now often referred to as Tits’ Alternative, stating that every finitely generated ...
B. X. Hai, H. Khanh
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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(𝔸 ℂ n ) for every n. In particular, it is a Borel subgroup of Aut(𝔸 ℂ n ), when the latter is viewed as an ind-group.
Jean-Philippe Furter +1 more
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The maximal subgroups of [PDF]
LMS Journal of Computation and Mathematics, 2013 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, C. Bates, P. Rowley
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Counting maximal arithmetic subgroups [PDF]
Duke Mathematical Journal, 2007 We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semisimple Lie group using an extension of the method developed by Borel and Prasad.
Mikhail Belolipetsky +2 more
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Irredundant families of maximal subgroups of finite solvable groups [PDF]
International Journal of Group Theory, 2023 Let $\mathcal{M}$ be a family of maximal subgroups of a group $G.$ We say that $\mathcal{M}$ is irredundant if its intersection is not equal to the intersection of any proper subfamily of $\mathcal{M}$. The maximal dimension of $G$ is the maximal size of
Agnieszka Stocka
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Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups [PDF]
Canadian mathematical bulletin, 2020 A Grigorchuk-Gupta-Sidki (GGS-)group is a subgroup of the automorphism group of the $p$-adic tree for an odd prime $p$, generated by one rooted automorphism and one directed automorphism.
Dominik Francoeur, A. Thillaisundaram
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On some second maximal subgroups of non-solvable groups
Hacettepe Journal of Mathematics and Statistics, 2022 We call a group $G$ belongs to the class of groups $S_{p}'$, if for every chief factor $A/B$ of $G$, $((A/B)_{p})'=1$. In this paper, some criterions for a group belong to $S_{p}'$ are obtained by using the properties of some second maximal subgroups ...
Yuyun Wang, L. Miao, Wei Liu
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The reduction theorem for relatively maximal subgroups
Bulletin of Mathematical Sciences, 2022 Let [Formula: see text] be a class of finite groups closed under taking subgroups, homomorphic images and extensions. It is known that if [Formula: see text] is a normal subgroup of a finite group [Formula: see text] then the image of an [Formula: see ...
Wenbin Guo +2 more
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The nilpotent ( p-group) of (D25 X C2n) for m > 5 [PDF]
Journal of Fuzzy Extension and Applications, 2023 Every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics.
Sunday Adesina Adebisi +2 more
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The fuzzy subgroups for the nilpotent ( p-group) of (d23 × c2m) for m ≥ 3 [PDF]
Journal of Fuzzy Extension and Applications, 2022 A group is nilpotent if it has a normal series of a finite length n. By this notion, every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics.
Sunday Adebisi +2 more
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