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Post-Lie algebra structures for perfect Lie algebras. [PDF]
Burde D, Dekimpe K, Monadjem M.
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The Eisenstein ideal at prime-square level has constant rank. [PDF]
Lang J, Wake P.
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On the profinite rigidity of free and surface groups. [PDF]
Morales I.
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Exact projected entangled pair ground states with topological Euler invariant. [PDF]
Wahl TB +4 more
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On Torsion-Free Abelian k-Groups
Proceedings of the American Mathematical Society, 1987A height sequence s is a function on primes p with values \(s_ p\) natural numbers or \(\infty\). The height sequence \(| x|\) of an element x in a torsion-free abelian group G is defined by \(| x|_ p=height\) of x at p. For a height sequence s, \(G(s)=\{x\in G:| x| \geq s\}\), \(G(ps)=\{x\in G(s):| x|_ p\geq s_ p+1\}\), \(G(s^*)=\{x\in G(s):\sum_{p}(|
Dugas, Manfred, Rangaswamy, K. M.
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ENDOPRIMAL TORSION-FREE SEPARABLE ABELIAN GROUPS
Journal of Algebra and Its Applications, 2004We give a characterization for the groups in the title in terms of the graph structure of the critical types occurring in the group. Moreover, we give an example of arbitrarily large endoprimal indecomposable groups.
Göbel, R. +3 more
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On locally free Abelian groups
Mathematical Notes, 2005An Abelian group is called `locally free' if all its subgroups of finite rank are free. In the present paper it is proved that a torsion-free group is a locally free group if and only if it is a direct limit of an inductive system of finitely generated free groups such that each map in this system is an embedding onto a direct summand (such a system is
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FREE ABELIAN TOPOLOGICAL GROUPS ON SPHERES
The Quarterly Journal of Mathematics, 1984If X is a completely regular topological space, then the abelian topological group F(X) is a (Markov) free abelian topological group on X if X is a subspace of F(X), X generates F(X) algebraically and for every continuous mapping \(\phi\) of X into any abelian topological group G there exists a continuous homomorphism \(\Phi\) of F(X) into G that ...
Katz, Eli +2 more
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