Results 11 to 20 of about 12,863,172 (309)
Inertial endomorphisms of an abelian group [PDF]
, 2013 We describe inertial endomorphisms of an abelian group $$A$$A, that is endomorphisms $$\varphi $$φ with the property $$|(\varphi (X)+X)/X|
Ulderico Dardano, Silvana Rinauro
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On T-Characterized Subgroups of Compact Abelian Groups
Axioms, 2015 A sequence \(\{ u_n \}_{n\in \omega}\) in abstract additively-written Abelian group \(G\) is called a \(T\)-sequence if there is a Hausdorff group topology on \(G\) relative to which \(\lim_n u_n =0\).
Saak Gabriyelyan
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Two Types of Non-Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains. [PDF]
Adv Sci (Weinh)In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Liu Y +6 more
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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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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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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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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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On the Norm of the Abelian p-Group-Residuals
Mathematics, 2021 Let G be a group. Dp(G)=⋂H≤GNG(H′(p)) is defined and, the properties of Dp(G) are investigated. It is proved that Dp(G)=P[A], where P=D(P) is the Sylow p-subgroup and A=N(A) is a Hall p′-subgroup of Dp(G), respectively.
Baojun Li, Yu Han, Lü Gong, Tong Jiang
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