Results 41 to 50 of about 276,781 (279)
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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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
doaj
Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank [PDF]
Advances in Group Theory and Applications, 2016 It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described.
Bernhard Amberg, Yaroslav P. Sysak
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On the Fast Computation of the Weight Enumerator Polynomial and the t Value of Digital Nets over Finite Abelian Groups [PDF]
SIAM Journal on Discrete Mathematics, 2012 In this paper we introduce digital nets over finite abelian groups which contain digital nets over finite fields and certain rings as a special case. We prove a MacWilliams type identity for such digital nets.
J. Dick, M. Matsumoto
semanticscholar +1 more source
On capability of finite abelian groups [PDF]
Archiv der Mathematik, 2009 Baer characterized capable finite abelian groups (a group is capable if it is isomorphic to the quotient of some group by its center) by a condition on the size of the factors in the invariant factor decomposition (the group must be noncyclic and the top two invariant factors must be equal).
openaire +2 more sources
Subgroup intersection graph of finite abelian groups [PDF]
Transactions on Combinatorics, 2012 Let G be a finite group with identity e. The subgroup intersection graph Gamma_SI (G) of G isa graph with vertex set G − e and two distinct vertices x and y are adjacent if and only if | i ∩ | | > 1.
T. Tamizh Chelvam, M. Sattanathan
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ON FINITE p-GROUPS WITH ABELIAN AUTOMORPHISM GROUP [PDF]
International Journal of Algebra and Computation, 2013 We construct, for the first time, various types of specific non-special finite p-groups having abelian automorphism group. More specifically, we construct groups G with abelian automorphism group such that γ2(G) < Z(G) < Φ(G), where γ2(G), Z(G) and Φ(G) denote the commutator subgroup, the center and the Frattini subgroup of G respectively. For a
Jain, Vivek K. +2 more
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Non-∀-homogeneity in free groups
Bulletin of Mathematical Sciences, 2021 We prove that non-abelian free groups of finite rank at least 3 or of countable rank are not ∀-homogeneous. We answer three open questions from Kharlampovich, Myasnikov, and Sklinos regarding whether free groups, finitely generated elementary free groups,
Olga Kharlampovich, Christopher Natoli
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Simple Finite Non-Abelian Flavor Groups
, 2007 The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two- and three-dimensional irreducible representations.
Christoph Luhn +4 more
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Certain finite abelian groups with the Redei k-property [PDF]
International Journal of Group Theory, 2013 Three infinite families of finite abeliab groups will be described such that each members of these families has the Redei k-property for many non-trivial values of k.
Sandor Szabo
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