Results 81 to 90 of about 68,515 (199)
Karpatsʹkì Matematičnì Publìkacìï, 2017 It is known that the so-called elementary symmetric polynomials $R_n(x) = \int_{[0,1]}(x(t))^n\,dt$ form an algebraic basis in the algebra of all symmetric continuous polynomials on the complex Banach space $L_\infty,$ which is dense in the Fr\'{e}chet ...
T.V. Vasylyshyn
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Morita equivalence classes of 2-blocks of defect three [PDF]
, 2014 We give a complete description of the Morita equivalence classes of blocks with elementary abelian defect groups of order 8 and of the derived equivalences between them.
Eaton, Charles W.
core
Fixed‐point posets of groups and Euler characteristics
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Suppose that G$G$ is a group and Ω$\Omega$ is a G$G$‐set. For X$\mathcal {X}$ a set of subgroups of G$G$, we introduce the fixed‐point poset XΩ$\mathcal {X}_{\Omega }$. A variety of results concerning XΩ$\mathcal {X}_{\Omega }$ are proved as, for example, in the case when p$p$ is a prime and X$\mathcal {X}$ is a non‐empty set of finite non ...
Peter Rowley
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On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices
Symmetry, Integrability and Geometry: Methods and Applications, 2008 Parametrization of 4 × 4-matrices G of the complex linear group GL(4,C) in terms of four complex 4-vector parameters (k,m,n,l) is investigated. Additional restrictions separating some subgroups of GL(4,C) are given explicitly.
Natalia G. Tokarevskaya +2 more
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Critical sets in the elementary abelian 2- and 3- groups
, 2004 In 1998, Khodkar showed that the minimal critical set in the Latin square corresponding to the elementary abelian 2-group of order 16 is of size at most 124.
Bean, Richard
core
Groups with conjugacy classes of coprime sizes
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina +8 more
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Linear Diophantine equations and conjugator length in 2‐step nilpotent groups
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We establish upper bounds on the lengths of minimal conjugators in 2‐step nilpotent groups. These bounds exploit the existence of small integral solutions to systems of linear Diophantine equations. We prove that in some cases these bounds are sharp.
M. R. Bridson, T. R. Riley
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The functor of units of Burnside rings for p-groups [PDF]
, 2006 In this note I describe the structure of the biset functor $B^\times$ sending a $p$-group $P$ to the group of units of its Burnside ring $B(P)$. In particular, I show that $B^\times$ is a rational biset functor. It follows that if $P$ is a $p$-group, the
Bouc, Serge
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Set Reconstruction on the Hypercube
Discrete Analysis, 2017 Set reconstruction on the hypercube, Discrete Analysis 2017:17, 10 pp. A well-known open problem in graph theory that goes back to the late 1950s is the so-called _reconstruction conjecture_.
Luke Pebody
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Borsuk-Ulam theorems for elementary abelian 2-groups
Topological Methods in Nonlinear Analysis, 2023 Let $G$ be a fct Lie group and let $U$ and $V$ be finite-dimensional real $G$-modules with $V^G=0$. A theorem of Marzantowicz, de Mattos and dos Santos estimates the covering dimension of the zero-set of a $G$-map from the unit sphere in $U$ to $V$ when $G$ is an elementary abelian $p$-group for some prime $p$ or a torus.
openaire +3 more sources