Results 61 to 70 of about 509 (172)
Group Equations With Abelian Predicates
, 2023 In this paper, we begin the systematic study of group equations with abelian predicates in the main classes of groups where solving equations is possible.
Garreta, Albert +3 more
core +1 more source
Tits alternatives for graph products
, 2015 We discuss various types of Tits Alternative for subgroups of graph products of groups, and prove that, under some natural conditions, a graph product of groups satisfies a given form of Tits Alternative if and only if each vertex group satisfies this ...
Antolin, Yago, Minasyan, Ashot
core +1 more source
Finite automata presentable abelian groups
, 2008 We give new examples of FA presentable torsion-free abelian groups. Namely, for every n⩾2, we construct a rank n indecomposable torsion-free abelian group which has an FA presentation.
André Nies +5 more
core +1 more source
Class number of an abelian group
, 2007 The groups in this paper are abelian. In this Addendum to [T.G. Faticoni, The class number of an abelian group, J. Algebra 314 (2007) 978–1008] we show that a problem in the direct sum decompositions of torsion-free finite rank groups implies several ...
Faticoni, Theodore G.
core +1 more source
Maximum Order of Finite Abelian Subgroups in the Outer Automorphism Group of a Rank n Free Group
, 2001 Let Fn be a free group of rank n. Denote by OutFn its outer automorphism group, that is, its automorphism group modulo its inner automorphism group. For arbitrary n, by considering group actions on finite connected graphs, we derived the maximum order of
Bao, ZQ, Bao, Zhiqiang
core +1 more source
Quotient divisible groups of rank 2
, 2021 In the paper, representations of torsion-free Abelian groups of rank 2 using torsion-free groups of rank 1 are studied. Necessary and sufficient conditions are found under which a group given by such a representation is quotient divisible. A criterion is
Timoshenko, E. A., Zonov, M. N.
core +1 more source
Locally compact abelian $p$-groups
, 2019 A locally compact abelian group is called periodic if it is totally disconnected and is a directed union of its compact subgroups. Various aspects of abelian periodic groups are considered such as – decomposing them into local products of their
Russo F, Hofmann KH, Herfort W
core +1 more source
, 2018 The first example of a finite rank torsion-free abelian group A such that the quotient group of A modulo the square subgroup of A is not a nil-group is indicated (in both cases of associative and general rings).
Andruszkiewicz, R.R., Woronowicz, M
core
Fully inert subgroups of divisible Abelian groups [PDF]
, 2013 A subgroup H of an Abelian group G is said to be fully inert if the quotient (H + phi(H)/H is finite for every endomorphism phi of G. Clearly, this is a common generalization of the notions of fully invariant, finite and finite-index subgroups.
Salce, Luigi +6 more
core +1 more source
Inertial endomorphisms of an abelian group
, 2016 We describe inertial endomorphisms of an abelian group $A$, that is endomorphisms $\varphi$ with the property $|(\varphi(X)+X)/X|
RINAURO, Silvana +5 more
core +1 more source