Results 11 to 20 of about 803,275 (234)
Elementary Abelian 3-Subgroups of the Monster [PDF]
Journal of Algebra, 1998 A complete classification of the maximal elementary abelian 3-subgroups of the Monster is obtained. It turns out there are 17 conjugacy classes, one of groups of order \(3^8\), one of the groups of order \(3^6\), and the rest of groups of order \(3^7\).
Richardson, Thomas M.
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Elementary subgroups of virtually free groups [PDF]
Groups, Geometry, and Dynamics, 2021 We give a description of elementary subgroups (in the sense of first-order logic) of finitely generated virtually free groups. In particular, we recover the fact that elementary subgroups of finitely generated free groups are free factors.
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A Simple Classification of Finite Groups of Order p2q2 [PDF]
Mathematics Interdisciplinary Research, 2018 Suppose G is a group of order p2q2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p2q2 when Q and P are
Aziz Seyyed Hadi +2 more
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Cohomology of finite groups and elementary Abelian subgroups
Topology, 1972 Quillen, D., Venkov, B.B.
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Elementary subgroups of isotropic reductive groups [PDF]
St. Petersburg Mathematical Journal, 2009 Summary: Let \(G\) be a not necessarily split reductive group scheme over a commutative ring \(R\) with 1. Given a parabolic subgroup \(P\) of \(G\), the elementary group \(E_P(R)\) is defined to be the subgroup of \(G(R)\) generated by \(U_P(R)\) and \(U_{P^-}(R)\), where \(U_P\) and \(U_{P^-}\) are the unipotent radicals of \(P\) and its opposite \(P^
Petrov, V., Stavrova, A.
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Cube-root-subgroups of SL2 over imaginary quadratic integers [PDF]
Computer Science Journal of Moldova, 2021 All cube roots of the identity in the special linear group of $2\times 2$-matrices with entries in the ring of integers in $\mathbb Q[\sqrt{d}]$ are described.
Miroslav Kures
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Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane
Известия Иркутского государственного университета: Серия "Математика", 2020 Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane} We investigate the hypotheses on a solvability of the full collineation group for non-Desarguesian semifield projective plane of a finite order (the question 11.76 in ...
O. V. Kravtsova
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Elementary subgroup of an isotropic reductive group is perfect [PDF]
St. Petersburg Mathematical Journal, 2012 Let G be an isotropic reductive algebraic group over a commutative ring R. Assume that the elementary subgroup E(R) of group of points G(R) is correctly defined. Then E(R) is perfect, except for the well-known cases of a split reductive group of type C_2 or G_2.
Luzgarev, A. Yu, Stavrova, Anastasia K.
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2-elements in an Autotopism Group of a Semifield Projective Plane
Известия Иркутского государственного университета: Серия "Математика", 2022 We investigate the well-known hypothesis of D.R. Hughes that the full collineation group of non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N.D. Podufalov). The spread
Olga Kravtsova
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