Results 31 to 40 of about 276,781 (279)
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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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 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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On the Genus of Finite Abelian Groups
European Journal of Combinatorics, 1980 The genus of a group is the minimum genus for any Cayley color graph of the group. Using the structure theorem for finite abelian groups and appropriate current graphs, we construct quadrilateral embeddings of minimum degree for such groups in almost all cases where this is consistent with the Euler formula, thereby determining the genus for these ...
Jungerman, Mark, White, Arthur T.
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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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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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On the Classification Problem for Rank 2 Torsion-Free Abelian Groups [PDF]
, 2000 We study here some foundational aspects of the classification problem for torsion-free abelian groups of finite rank. These are, up to isomorphism, the subgroups of the additive groups (Q^n, +), for some n = 1, 2, 3,....
Kechris, Alexander S.
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On the number of subgroups of a given exponent in a finite abelian group [PDF]
, 2017 This paper deals with the number of subgroups of a given exponent in a finite abelian group. Explicit formulas are obtained in the case of rank two and rank three abelian groups.
Tóth, László, Tărnăuceanu, Marius
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On finite A-perfect abelian groups [PDF]
International Journal of Group Theory, 2012 Let $G$ be a group and $A = Aut(G)$ be the group of automorphisms of $G$. Then the element $[g,alpha] = g^{-1}alpha(g)$ is an autocommutator of $gin G$ and $alphain A$.
Mohammad Mehdi Nasrabadi, Ali Gholamian
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