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Semi-Extraspecial Groups with an Abelian Subgroup of Maximal Possible Order [PDF]
Advances in Group Theory and Applications, 2018 Let p be a prime. A finite p-group G is defined to be semi-extraspecial if for every maximal subgroup N in Z(G) the quotient G/N is a an extraspecial group. In addition, we say that G is ultraspecial if G is semi-extraspecial and |G : G′| = |G′|^2.
Mark L. Lewis
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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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Maximal Subgroups of Compact Lie Groups
, 2013 This report aims at giving a general overview on the classification of the maximal subgroups of compact Lie groups (not necessarily connected). In the first part, it is shown that these fall naturally into three types: (1) those of trivial type, which ...
Antoneli, Fernando +2 more
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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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On co-maximal subgroup graph of $Z_n$ [PDF]
International Journal of Group Theory, 2022 The co-maximal subgroup graph $\Gamma(G)$ of a group $G$ is a graph whose vertices are non-trivial proper subgroups of $G$ and two vertices $H$ and $K$ are adjacent if $HK = G$.
Manideepa Saha +2 more
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On a Maximal Subgroup 2^6:(3^. S6) of M24 [PDF]
Mathematics Interdisciplinary Research, 2022 The Mathieu group M24 has a maximal subgroup of the form G ̅=N:G, where N=26 and G=3. S6 ≅ 3. PGL2 (9). Using Atlas, we can see that M24 has only one maximal subgroup of type 26:(3. S6). The group is a split extension of an elementary abelian group, N=26
Dennis Chikopela, Thekiso Seretlo
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On a maximal subgroup of the Symplectic group Sp(4,4) [PDF]
AUT Journal of Mathematics and Computing, 2023 This paper is dealing with a split extension group of the form 26 :(3× A5), which is the largest maximal subgroup of the Symplectic group Sp(4, 4). We refer to this extension by G.
Ayoub Basheer
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Generation of Finite Groups and Maximal Subgroup Growth [PDF]
Advances in Group Theory and Applications, 2020 Let G be a finite group and, for n 2 N, denote by m_n(G) the number of maximal subgroups of G with index n. Let M(G) = sup_{n>2} log m_n(G)/log n and let E_1(G) be the expected number of elements of G which have to be drawn at random, with ...
Andrea Lucchini, Mariapia Moscatiello
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Algebraic subgroups of the plane Cremona group over a perfect field [PDF]
Épijournal de Géométrie Algébrique, 2021 We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group.
Julia Schneider, Susanna Zimmermann
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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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