Results 51 to 60 of about 154,678 (275)
On the Cayley-Hamilton property in abelian groups
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper, the work of Casacuberta and Hilton on the class of abelian fg-like groups is extended. These groups share much in common with the class of finitely generated abelian groups.
Robert R. Militello
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On Modified Erdős-Ginzburg-Ziv constants of finite abelian groups
AIMS Mathematics, 2023 Let $ G $ be a finite abelian group with exponent $ \exp(G) $ and $ S $ be a sequence with elements of $ G $. We say $ S $ is a zero-sum sequence if the sum of the elements in $ S $ is the zero element of $ G $.
Yuting Hu, Jiangtao Peng , Mingrui Wang
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Scissors congruence K$K$‐theory for equivariant manifolds
Bulletin of the London Mathematical Society, EarlyView.Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
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Fuchs' problem for indecomposable abelian groups
, 2015 More than 50 years ago, Laszlo Fuchs asked which abelian groups can be the group of units of a commutative ring. Though progress has been made, the question remains open.
Chebolu, Sunil K., Lockridge, Keir
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Dynamics of Endomorphism of Finite Abelian Groups
Discrete Dynamics in Nature and Society, 2017 We study the dynamics of endomorphisms on a finite abelian group. We obtain the automorphism group for these dynamical systems. We also give criteria and algorithms to determine whether it is a fixed point system.
Zhao Jinxing, Nan Jizhu
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The cubic power graph of finite abelian groups
AKCE International Journal of Graphs and Combinatorics, 2021 Let G be a finite abelian group with identity 0. For an integer the additive power graph of G is the simple undirected graph with vertex set G in which two distinct vertices x and y are adjacent if and only if x + y = nt for some with When the additive ...
R. Raveendra Prathap, T. Tamizh Chelvam
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Bohr sets in sumsets II: countable abelian groups
Forum of Mathematics, Sigma, 2023 We prove three results concerning the existence of Bohr sets in threefold sumsets. More precisely, letting G be a countable discrete abelian group and $\phi _1, \phi _2, \phi _3: G \to G$ be commuting endomorphisms whose images have finite indices,
John T. Griesmer +2 more
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On t-extensions of abelian groups
, 2014 Let G and C be two discrete abelian groups. It is known that Pext(C,G) is a subgroup of Ext(C,G). In this paper, we introduce the t-extensions of G by C. We will show that the set of all t-extensions of G by C is a subgroup of Ext(C,G) which contains Pext(C,G).
Alijani, Aliakbar, Sahleh, Hossein
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A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, EarlyView.Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley +1 more source
Gabor analysis over finite Abelian groups [PDF]
, 2007 The topic of this paper are (multi-window) Gabor frames for signals over finite Abelian groups, generated by an arbitrary lattice within the finite time-frequency plane.
Feichtinger, H. G., Kozek, W., Luef, F.
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