Results 11 to 20 of about 14,530,265 (235)
The Markov–Zariski topology of an abelian group [PDF]
Journal of Algebra, 2010 According to Markov (1946) [24] , a subset of an abelian group G of the form { x ∈ G : n x = a } , for some integer n and some element a ∈ G , is an elementary algebraic set; finite unions of elementary algebraic sets are called algebraic sets.
D. Dikranjan, D. Shakhmatov
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The structure of shift invariant spaces on a locally compact abelian group
Journal of Mathematical Analysis and Applications, 2008 We investigate shift invariant subspaces of L 2 ( G ) , where G is a locally compact abelian group. We show, among other things, that every shift invariant space can be decomposed as an orthogonal sum of spaces each of which is generated by a single ...
R. K. Gol, R. R. Tousi
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The multiple holomorph of a finitely generated abelian group [PDF]
, 2016 W.H. Mills has determined, for a finitely generated abelian group G , the regular subgroups N≅GN≅G of S(G)S(G), the group of permutations on the set G, which have the same holomorph as G , that is, such that NS(G)(N)=NS(G)(ρ(G))NS(G)(N)=NS(G)(ρ(G ...
A. Caranti, F. Volta
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The Baer–Kaplansky Theorem for all abelian groups and modules
Bulletin of Mathematical Sciences, 2022 It is shown that the Baer–Kaplansky Theorem can be extended to all abelian groups provided that the rings of endomorphisms of groups are replaced by trusses of endomorphisms of corresponding heaps.
Simion Breaz, Tomasz Brzeziński
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Classical simulations of Abelian-group normalizer circuits with intermediate measurements [PDF]
Quantum information & computation, 2012 Quantum normalizer circuits were recently introduced as generalizations of Clifford circuits [1]: a normalizer circuit over a finite Abelian group G is composed of the quantum Fourier transform (QFT) over G, together with gates which compute quadratic ...
Juan Bermejo-Vega, M. Nest
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Renormalization of an Abelian tensor group field theory: solution at leading order [PDF]
, 2015 A bstractWe study a just-renormalizable tensorial group field theory of rank six with quartic melonic interactions and Abelian group U(1). We introduce the formalism of the intermediate field, which allows a precise characterization of the leading order ...
Vincent Lahoche, D. Oriti, V. Rivasseau
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Commutativity Degree of Certain Finite AC-Groups [PDF]
Mathematics Interdisciplinary Research, 2021 For a finite group G, the probability of two elements of G that commute is the commutativity degree of G denoted by P(G). As a matter of fact, if C = {(a; b) ∈ G×G | ab = ba}, then P(G) = |C|/|G|2 .
Azizollah Azad, Sakineh Rahbariyan
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On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups
Comptes Rendus. Mathématique, 2023 We prove that every elementary abelian $p$-group, for odd primes $p$, occurs as the Schur multiplier of some non-abelian finite $p$-group.
Rai, Pradeep K.
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On cosmall Abelian groups [PDF]
Journal of Algebra, 2007 In the present paper the authors investigate what happens with Abelian groups with dual properties of some well known homological characterizations of (self-)small Abelian groups (modules). More precisely, an Abelian group \(G\) is called `cosmall' if \(\Hom(\prod_{i\in I}A_i,G)\) and \(\prod_{i\in I}\Hom(A_i,G)\) are naturally isomorphic for all ...
Goldsmith, Brendan, Kolman, O.
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THE CYCLIC DECOMPOSITION OF THE FACTOR GROUP CF(Dnh,Z)/R(Dnh) WHEN N IS AN ODD NUMBER
Journal of Kufa for Mathematics and Computer, 2010 For fixed positive integer n³3 ,let Dn be the dihedral group, Dnh= Dn ÏC2 and cf(Dnh,Z) be the abelian group of Z-valued class functions of the group Dnh .The intersection of cf(Dnh,Z) with the group of all generalized characters of Dnh , R(Dnh) is a ...
Hussein Hadi Abbas +1 more
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