Results 31 to 40 of about 277,944 (294)
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 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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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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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 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 finite GK-dimensional Nichols algebras over abelian groups [PDF]
Memoirs of the American Mathematical Society, 2016 We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, GKdim \operatorname {GKdim} for short, through the study of Nichols algebras over abelian groups.
N. Andruskiewitsch +2 more
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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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Finitely generic abelian lattice-ordered groups [PDF]
Transactions of the American Mathematical Society, 1983 The authors characterize the finitely generic abelian lattice-ordered groups and make application of this characterization to specific examples.
Saracino, Dan, Wood, Carol
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Factorization numbers of finite abelian groups [PDF]
International Journal of Group Theory, 2013 The number of factorizations of a finite abelian group as the product of two subgroups is computed in two different ways and a combinatorial identity involving Gaussian binomial coefficients is presented.
Mohammad Farrokhi Derakhshandeh Ghouchan
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