Results 11 to 20 of about 119,916 (247)
Broué's conjecture for 2-blocks with elementary abelian defect groups of order 32 [PDF]
Advances in Group Theory and Applications, 2021 The first author recently classified the Morita equivalence classes of 2-blocks of finite groups with elementary abelian defect groups of order 32. In all but three cases he proved that the Morita equivalence class determines the inertial quotient of the
Cesare Giulio Ardito, Benjamin Sambale
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Inverse zero-sum problems and algebraic invariants [PDF]
, 2008 In this article, we study the maximal cross number of long zero-sumfree sequences in a finite Abelian group. Regarding this inverse-type problem, we formulate a general conjecture and prove, among other results, that this conjecture holds true for finite
Girard, Benjamin
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Ranks for Families of Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2019 The rank for families of theories is similar to Morley rank and can be considered as a measure for complexity or richness of these families. Increasing the rank by extensions of families we produce more rich families and obtaining families with the ...
In. I. Pavlyuk, S.V. Sudoplatov
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On Products of Cyclic and Non-Abelian Finite p-Groups [PDF]
Advances in Group Theory and Applications, 2020 For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a nonabelian subgroup whose class does not exceed p/2 in most cases. Bounds for the derived length
Brendan McCann
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Remark on subgroup intersection graph of finite abelian groups
Open Mathematics, 2020 Let G be a finite group. The subgroup intersection graph Γ(G)\text{Γ}(G) of G is a graph whose vertices are non-identity elements of G and two distinct vertices x and y are adjacent if and only if |〈x〉∩〈y〉|>1|\langle x\rangle \cap \langle y\rangle
Zhao Jinxing, Deng Guixin
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On the Structure of Groups whose Non-Abelian Subgroups are Serial [PDF]
Advances in Group Theory and Applications, 2016 Necessary and sufficient conditions are given for a locally finite group to have all non-abelian subgroups serial. We also obtain results for groups whose non-abelian subgroups are permutable.
M.R. Dixon, L.A. Kurdachenko, N.N. Semko
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Kneser’s theorem in -finite abelian groups [PDF]
Canadian Mathematical Bulletin, 2022 AbstractLet G be a $\sigma $ -finite abelian group, i.e., $G=\bigcup _{n\geq 1} G_n$ where $(G_n)_{n\geq 1}$ is a nondecreasing sequence of finite subgroups. For any $A\subset G$ , let $\underline {\mathrm {d}}( A ):=\liminf _{n\to \infty }\frac {|A\cap G_n|}{|G_n|}$ be its lower asymptotic density.
Bienvenu, Pierre-Yves +1 more
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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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Automorphisms of Finite Abelian Groups [PDF]
The American Mathematical Monthly, 2007 We give an accessible and modern description of the automorphisms of a finite abelian group $G$. Included is an explicit formula for the cardinality of $Aut(G)$.
Hillar, Christopher J., Rhea, Darren
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Genomic Abelian Finite Groups [PDF]
, 2021 AbstractExperimental studies reveal that genome architecture splits into DNA sequence domains suggesting a well-structured genomic architecture, where, for each species, genome populations are integrated by individual mutational variants. Herein, we show that, consistent with the fundamental theorem of Abelian finite groups, the architecture of ...
Robersy Sanchez, Jesús Barreto
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