Results 11 to 20 of about 70,616 (265)
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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Maximal Subgroup Containment in Direct Products [PDF]
Advances in Group Theory and Applications, 2016 Using the main theorem from [1] that characterizes containment of subgroups in a direct product, we provide a characterization of maximal subgroups contained in a direct product.
Ben Brewster, Dandrielle Lewis
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Bounds on the Number of Maximal Subgroups of Finite Groups: Applications
Mathematics, 2022 The determination of bounds for the number of maximal subgroups of a given index in a finite group is relevant to estimate the number of random elements needed to generate a group with a given probability.
Adolfo Ballester-Bolinches +2 more
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Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of ...
Xavier Mbaale +2 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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Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index
Journal of Harbin University of Science and Technology, 2023 In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
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A generalization of the Chermak--Delgado measure on subgroups and its associated lattice [PDF]
International Journal of Group Theory, 2023 We generalize the Chermak--Delgado measure of a subgroup of a finite group $G$, $\mu(H) = |H||C_{G}(H)|$, and its associated lattice of subgroups with maximal measure. We consider mappings $M$ of the lattice of all subgroups $\mathrm{Sub}(G)$ into itself
William Cocke +2 more
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On a Maximal Subgroup of the Affine General Linear Group of GL(6, 2) [PDF]
Advances in Group Theory and Applications, 2021 The affine general linear group 2^5:GL(5, 2) of GL(6, 2) has 6 conjugacy classes of maximal subgroups. The largest maximal subgroup is a group of the form 2^(1+8)_+ : GL(4, 2). In this paper we firstly determine the conjugacy classes of G using the coset
Ayoub B.M. Basheer, Jamshid Moori
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TORSION MAXIMAL SUBGROUPS OF GLn(D) [PDF]
Journal of Algebraic SystemsLet D be a division ring over its center F. LetGLn(D)be the general linear group over D. In this article we prove thatifGLn(D)contains a maximal torsion subgroup M then D = F,FpcharF = p > 0 and F is algebraic over its prime subeldwhen-ever one of the ...
Reza Fallah-Moghaddam
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Maximal subgroups and PST-groups [PDF]
Open Mathematics, 2013 Abstract A subgroup H of a group G is said to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp.
Ballester-Bolinches, Adolfo +3 more
openaire +5 more sources