Results 31 to 40 of about 6,156 (235)
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
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
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
Factorial design and abelian groups [PDF]
, 1985 The theory of finite Abelian groups is used to simplify the search for, and construction of, factorial ...
Bailey, Rosemary Anne +2 more
core +1 more source
Electronic Notes in Discrete Mathematics, 2015 Abstract In this paper, we introduce an abelian group labeling (shortly, AGL) over finite abelian groups. We have shown that every finite graph admits an abelian group labeling. In the course of investigation, we found that representation labeling can be obtained from abelian group labeling for certain graphs.
Pranjali, Mukti Acharya, Purnima Gupta
openaire +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
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
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
On perfect bases in finite Abelian groups
Involve, a Journal of Mathematics, 2022 To appear in ...
Bajnok, Béla +2 more
openaire +3 more sources
Contributions to the essential dimension of finite and algebraic groups [PDF]
, 2010 Essential dimension, introduced by Joe Buhler and Zinovy Reichstein and in its most general form by Alexander Merkurjev is a measure of complexity of algebraic objects such as quadratic forms, hermitian forms, central simple algebras and étale algebras ...
Lötscher, Roland
core +1 more source