Results 1 to 10 of about 1,367,812 (370)
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
doaj +2 more sources
The affine automorphism group of A^3 is not a maximal subgroup of the tame automorphism group [PDF]
, 2014 We construct explicitly a family of proper subgroups of the tame automorphism group of affine three-space (in any characteristic) which are generated by the affine subgroup and a non-affine tame automorphism. One important corollary is the titular result
Edo, Eric, Lewis, Drew
core +3 more sources
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
doaj +4 more sources
Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup [PDF]
, 2012 For an affine spherical homogeneous space G/H of a connected semisimple algebraic group G, we consider the factorization morphism by the action on G/H of a maximal unipotent subgroup of G. We prove that this morphism is equidimensional if and only if the
Roman Avdeev
openalex +3 more sources
Generators for maximal subgroups of Conway group Co1 [PDF]
Open Mathematics, 2019 The Conway groups are the three sporadic simple groups Co1, Co2 and Co3. There are total of 22 maximal subgroups of Co1 and generators of 6 maximal subgroups are provided in web Atlas of finite simple groups.
Yasin Faisal +3 more
doaj +2 more sources
The normal index of a maximal subgroup of a finite group [PDF]
, 1989 N. P. Mukherjee, Prabir Bhattacharya
openalex +2 more sources
On co-maximal subgroup graph of a group [PDF]
Ricerche di Matematica, 2021 The co-maximal subgroup graph Γ(G)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
Angsuman Das, M. Saha, Saba Al-Kaseasbeh
semanticscholar +1 more source
Finite soluble groups in which the normalizer of everynon-normal cyclic subgroup is maximal [PDF]
, 2014 Jianji Cao, Xiuyun Guo
openalex +2 more sources
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
doaj +1 more source
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
doaj +1 more source