Results 21 to 30 of about 119,916 (247)
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
doaj +1 more source
Quantum Hashing for Finite Abelian Groups [PDF]
, 2016 We propose a generalization of the quantum hashing technique based on the notion of the small-bias sets. These sets have proved useful in different areas of computer science, and here their properties give an optimal construction for succinct quantum ...
Vasiliev, Alexander
core +2 more sources
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
doaj
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.
core +2 more sources
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
openaire +1 more source
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
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
doaj +1 more source
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
doaj
Groups with a Strongly Embedded Subgroup Saturated with Finite Simple Non-abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2020 An important concept in the theory of finite groups is the concept of a strongly embedded subgroup. The fundamental result on the structure of finite groups with a strongly embedded subgroup belongs to M. Suzuki.
A.A. Shlepkin
doaj +1 more source
Factoring finite abelian groups
Journal of Algebra, 2004 Let \(S+T\) denote the Minkowski sum of the sets \(S\) and \(T\). Let \(G\) be a finite cyclic group with a factorization \(G=S_1\oplus S_2\oplus\cdots\oplus S_k\), where \(|S_i|\) is a prime or a product of two primes for all \(i\). The author shows that there is \(i\) such that \(S_i\) is periodic.
openaire +1 more source