Results 1 to 10 of about 24,557 (95)
On the structure of groups admitting faithful modules with certain conditions of primitivity
Researches in Mathematics, 2023 In the paper we study structure of soluble-by-finite groups of finite torsion-free rank which admit faithful modules with conditions of primitivity. In particular, we prove that under some additional conditions if an infinite finitely generated linear ...
A.V. Tushev
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Monoids of modules and arithmetic of direct-sum decompositions [PDF]
, 2014 Let $R$ be a (possibly noncommutative) ring and let $\mathcal C$ be a class of finitely generated (right) $R$-modules which is closed under finite direct sums, direct summands, and isomorphisms.
Baeth, Nicholas R., Geroldinger, Alfred
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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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Remark on the $p$-rank of torsion free abelian groups of infinite rank [PDF]
Czechoslovak Mathematical Journal, 1963 Zusammenfassung des Autors:
openaire +2 more sources
Infinite groups with large balls of torsion elements and small entropy [PDF]
, 2005 We exhibit infinite, solvable, virtually abelian groups with a fixed number of generators, having arbitrarily large balls consisting of torsion elements.
De Cornulier, Laurent Bartholdi, Yves
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Finitely generated soluble groups and their subgroups [PDF]
, 2011 We prove that every finitely generated soluble group which is not virtually abelian has a subgroup of one of a small number of types.Comment: 16 ...
Derek F. Holt +3 more
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Involutive automorphisms of $N_\circ^\circ$ groups of finite Morley rank [PDF]
, 2016 We classify a large class of small groups of finite Morley rank: $N_\circ^\circ$-groups which are the infinite analogues of Thompson's $N$-groups. More precisely, we constrain the $2$-structure of groups of finite Morley rank containing a definable ...
Deloro, Adrien, Jaligot, Eric
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On the congruence subgroup property for GGS-groups [PDF]
, 2016 We show that all GGS-groups with non-constant defining vector satisfy the congruence subgroup property. This provides, for every odd prime $p$, many examples of finitely generated, residually finite, non-torsion groups whose profinite completion is a pro-
Fernández-Alcober, Gustavo A. +2 more
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K-theory for Leavitt path algebras: computation and classification [PDF]
, 2015 We show that the long exact sequence for K-groups of Leavitt path algebras deduced by Ara, Brustenga, and Cortinas extends to Leavitt path algebras of countable graphs with infinite emitters in the obvious way.
Gabe, James +3 more
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Homogeneity and prime models in torsion-free hyperbolic groups [PDF]
, 2010 We show that any nonabelian free group $F$ of finite rank is homogeneous; that is for any tuples $\bar a$, $\bar b \in F^n$, having the same complete $n$-type, there exists an automorphism of $F$ which sends $\bar a$ to $\bar b$.
Houcine, Abderezak Ould
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