Results 31 to 40 of about 33,430 (215)
Almost completely decomposable torsion free abelian groups [PDF]
Proceedings of the American Mathematical Society, 1974 A finite rank torsion free abelian group G G is almost completely decomposable if there exists a completely decomposable subgroup C C with finite index in G G . The minimum of [ G : C ] [G:C] over all completely decomposable subgroups C
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Decompositions of torsion-free abelian groups [PDF]
Journal of Algebra, 2019 All groups in this review are abelian and torsion-free. Some concepts like near-isomorphism, sufficient-isomorphism, mono-equivalence, main decomposition, the length of a decomposition, strongly-separable groups, quasi-separable groups, \(\tau\)-homogeneous groups, \(\tau\)-clipped groups for any type \(\tau\) and various kinds of types have been ...
Gábor Braun +2 more
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Non-unitarisable representations and random forests [PDF]
, 2008 We establish a connection between Dixmier's unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L2-Betti number is non-zero or if it is finitely ...
Epstein, Inessa, Monod, Nicolas
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Uniquely Transitive Torsion-Free Abelian Groups
, 2004 We will answer a question raised by Emmanuel Dror Farjoun concerning the existence of torsion-free abelian groups G such that for any ordered pair of pure elements there is a unique automorphism mapping the first element onto the second one. We will show the existence of such a group of cardinality lambda for any successor cardinal lambda=mu^+ with mu ...
Göbel, Rüdiger, Shelah, Saharon
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Spectral Analysis Implies Spectral Synthesis
MathematicsIn this paper we show that spectral analysis implies spectral synthesis for arbitrary varieties on locally compact Abelian groups that have no discrete subgroups of an infinite torsion-free rank.
László Székelyhidi
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Some special classes of n-abelian groups [PDF]
International Journal of Group Theory, 2012 Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
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non-divisibility for abelian groups
پژوهشهای ریاضی, 2022 Introduction In Throughout all groups are abelian. Suppose that G is a group and n is a positive integer. For a ∈ G, if we consider the solution of the equation nx = a in G, two subsets of G are proposed.
mohammad reza vedadi, yaser Tolooei
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Strictly positive definite functions on compact abelian groups
, 2010 We study the Fourier characterisation of strictly positive definite functions on compact abelian groups. Our main result settles the case $G = F \times \mathbb{T}^r$, with $r \in \mathbb{N}$ and $F$ finite.
Emonds, Jan, Fuehr, Hartmut
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On quasihomomorphisms with noncommutative targets [PDF]
, 2015 We describe structure of quasihomomorphisms from arbitrary groups to discrete groups. We show that all quasihomomorphisms are 'constructible', i.e., are obtained via certain natural operations from homomorphisms to some groups and quasihomomorphisms to ...
Fujiwara, Koji, Kapovich, Michael
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On automorphism groups of Toeplitz subshifts
Discrete Analysis, 2017 On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso +3 more
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