Results 1 to 10 of about 803,275 (234)
p-Groups with maximal elementary abelian subgroups of rank 2 [PDF]
Journal of Algebra, 2010 Let \(G\) be a finite \(p\)-group with the prime \(p\) odd. The main result of the paper is that if the group \(G\) possesses a maximal elementary Abelian subgroup of rank 2 then the group \(G\) has rank at most \(p\), answering a question raised by the second author [in J. Algebra 320, No. 12, 4242-4248 (2008; Zbl 1165.20016)]. For the 2-group case it
Nadia Mazza, George Glauberman
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Connected components of the category of elementary abelian p-subgroups [PDF]
Journal of Algebra, 2008 The goal of the paper under review is to compute an upper bound for \(n_G\), where \(G\) is a finite \(p\)-group, \(p\) an odd prime. Here \(n_G\) is defined as the number of connected components of the category of elementary Abelian subgroups of \(G\) of rank at least 2, and equals the torsion-free rank of the group of endotrivial modules of \(G ...
Nadia Mazza
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Elementary abelian 2-subgroups of compact Lie groups [PDF]
Geometriae Dedicata, 2012 We classify elementary abelian 2-subgroups of compact simple Lie groups of adjoint type. This finishes the classification of elementary abelian p-subgroups of compact simple Lie groups (equivalently, complex linear algebraic simple groups) of adjoint type started in Griess (Geom Dedicata 39(3):253-305, 1991).
Yu, Jun
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p-Elementary subgroups of the Cremona group
Journal of Algebra, 2007 The main result is completed (thanks to the referee)
Arnaud Beauville
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Induction from Elementary Abelian Subgroups
Journal of Algebra, 1996 Let \(G\) be a finite group, \(R\) a ring with unit element, \(R*G\) a crossed product of \(G\) over \(R\), and let \(M\) be an \(R*G\)-module. The main result of this paper tells that \(M\) is weakly projective (that is, relatively 1-projective), respectively projective iff \(_{R*H}M\) is weakly projective, respectively projective for every elementary
Aljadeff, E., Ginosar, Y.
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Frontiers in PsychologyIntroductionTeacher burnout is a serious problem that requires quick attention and management since it not only compromises educational quality but also strains schools’ financial resources.Research objectiveThe purpose of the present study was to ...
Mohammed H. Alghamdi, Georgios Sideridis
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Subgroups of classical groups normalized by relative elementary groups
Journal of Pure and Applied Algebra, 2012 Let \((R,\Lambda)\) be a commutative form ring, and let \((J,\Gamma)\) be a form ideal of \((R,\Lambda)\). A complete description of all subgroups of the unitary groups \(U_{2n}(R,\Lambda)\) which are normalized by the relative elementary subgroup \(EU_{2n}(J,\Gamma)\) is obtained for all \(n\geq 4\).
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Influence of complemented subgroups on the structure of finite groups [PDF]
International Journal of Group Theory, 2021 P. Hall proved that a finite group $G$ is supersoluble with elementary abelian Sylow subgroups if and only if every subgroup of $G$ is complemented in $G$. He called such groups complemented. A. Ballester-Bolinches and X.
Izabela Malinowska
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COMMUTATORS OF ELEMENTARY SUBGROUPS: CURIOUSER AND CURIOUSER [PDF]
Transformation Groups, 2021 Let $R$ be any associative ring with $1$, $n\ge 3$, and let $A,B$ be two-sided ideals of $R$. In our previous joint works with Roozbeh Hazrat [17,15] we have found a generating set for the mixed commutator subgroup $[E(n,R,A),E(n,R,B)]$. Later in [29,34] we noticed that our previous results can be drastically improved and that $[E(n,R,A),E(n,R,B)]$ is ...
Vavilov, N., Zhang, Z.
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Locally Maximal Subgroups and the Normalizer Condition in p-Groups [PDF]
Advances in Group Theory and Applications, 2023 This work is a continuation of the investigation of a locally nilpotent p-group satisfying the normalizer condition by imposing certain conditions on locally maximal subgroups, where p ≠ 2.
A.O. Asar
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