Results 21 to 30 of about 22,610 (167)
Dualities for torsion-free abelian groups of finite rank
Journal of Algebra, 1990 All groups considered here are torsion-free abelian groups of finite rank. Let F be a full free subgroup of such a group G. The finite outer type of G, FOT(G), is \((...,\pi_ p,...)\), where \(p^{\pi_ p}\) is the order of a maximal cyclic summand in the p-component of the reduced part of G/F.
Vinsonhaler, C, Wickless, W
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Summands of finite rank torsion free abelian groups
Journal of Algebra, 1974 AbstractA finite rank torsion free abelian group has, up to isomorphism, only finitely many summands.
E.L Lady
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On the splittability of factor groups of torsion-free Abelian groups of finite rank [PDF]
Czechoslovak Mathematical Journal, 1961 Ladislav Procházka
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A theorem on quasi-pure-projective torsion free abelian groups of finite rank [PDF]
Pacific Journal of Mathematics, 1980 Vinsonhaler, C., Wickless, W.
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On the $p$-rank of torsion-free Abelian groups of finite rank [PDF]
Czechoslovak Mathematical Journal, 1962 Ladislav Procházka
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A remark on the structure of the factor groups of torsion-free Abelian groups of finite rank [PDF]
Czechoslovak Mathematical Journal, 1962 Ladislav Procházka
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Cohomology and profinite topologies for solvable groups of finite rank [PDF]
, 2012 Assume $G$ is a solvable group whose elementary abelian sections are all finite. Suppose, further, that $p$ is a prime such that $G$ fails to contain any subgroups isomorphic to $C_{p^\infty}$.
Lorensen, Karl
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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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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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Groups with minimax commutator subgroup [PDF]
International Journal of Group Theory, 2014 A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
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