Results 91 to 100 of about 68,515 (199)
Unusual elementary axiomatizations for abelian groups
, 2019 One of the most studied algebraic structures with one operation is the Abelian group, which is defined as a structure whose operation satisfies the associative and commutative properties, has identical element and every element has an inverse element. In this article, we characterize the Abelian groups with other properties and we even reduce it to two
Tafur, Haydee Jiménez +2 more
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Real equivariant bordism for elementary abelian 2-groups [PDF]
Homology, Homotopy and Applications, 2013 We give a description of real equivariant bordism for elementary abelian 2-groups, which is similar to the description of complex equivariant bordism for the group S^1 x ... x S^1 given by Hanke in 2005.
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The third cohomology group classifies crossed module extensions
, 2009 We give an elementary proof of the well-known fact that the third cohomology group H^3(G, M) of a group G with coefficients in an abelian G-module M is in bijection to the set Ext^2(G, M) of equivalence classes of crossed module extensions of G with M ...
Thomas, Sebastian
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Upper ramification jumps in abelian extensions of exponent p
, 2014 In this paper we present a classification of the possible upper ramification jumps for an elementary abelian p-extension of a p-adic field. The fundamental step for the proof of the main result is the computation of the ramification filtration for the ...
Capuano, Laura, Del Corso, Ilaria
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A characterisation of elementary abelian 3-groups
, 2016 Tarnauceanu [Archiv der Mathematik, 102 (1), (2014), 11--14] gave a characterisation of elementary abelian $2$-groups in terms of their maximal sum-free sets. His theorem states that a finite group $G$ is an elementary abelian $2$-group if and only if the set of maximal sum-free sets coincides with the set of complements of the maximal subgroups.
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Elementary abelian subgroups: From algebraic groups to finite groups
Transactions of the American Mathematical SocietyWe describe a new approach for classifying conjugacy classes of elementary abelian subgroups in simple algebraic groups over an algebraically closed field, and understanding the normaliser and centraliser structure of these. For toral subgroups, we give an effective classification algorithm.
An, Jianbei +2 more
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Ermakov's Superintegrable Toy and Nonlocal Symmetries
Symmetry, Integrability and Geometry: Methods and Applications, 2005 We investigate the symmetry properties of a pair of Ermakov equations. The system is superintegrable and yet possesses only three Lie point symmetries with the algebra sl(2, R).
P.G.L. Leach +3 more
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Graph labelings in elementary abelian groups
Discrete Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Segal conjecture for elementary abelian p-groups
Topology, 1985 Gunnar Carlsson has proved the Segal conjecture for finite groups: If \(G\) is a finite group, then the Segal map \(\pi^*_ G(S^ 0){\hat{\;}}\to \pi^*_ S(BG^+)\) is an isomorphism, where \(\pi^*_ G(S^ 0){\hat{\;}}\) denotes \(\pi^*_ G(S^ 0)\) completed at the augmentation ideal \(I(G)\) in the Burnside ring \(A(G)\). Carlsson's inductive argument starts
Adams, J.F. +2 more
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Helicity is a topological invariant of massless particles: C=−2h
Physical Review ResearchThere is an elementary but indispensable relationship between the topology and geometry of massive particles. The geometric spin s is related to the topological dimension of the internal space V by dimV=2s+1.
Eric Palmerduca, Hong Qin
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