Results 91 to 100 of about 209 (119)
Groups of piecewise projective homeomorphisms [PDF]
Proc Natl Acad Sci U S A, 2013 europepmc +1 more source
In Our Mind's Eye: Thinkable and Unthinkable, and Classical and Quantum in Fundamental Physics, with Schrödinger's Cat Experiment. [PDF]
Entropy (Basel)Plotnitsky A.
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Fields interpretable in the free group
We prove that no infinite field is interpretable in the first-order theory of nonabelian free groups. We also obtain a characterization of Abelian groups interpretable in this theory.60 pages, version accepted in the Proceedings of the London ...
Sklinos, Rizos
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Nonabelian Tensor Squares of Compact Groups via Quotients of Free Compact Groups
Journal of Lie TheoryThis paper is dedicated to the study of Hausdorff compact topological groups. The authors provide an explicit construction for the non-abelian tensor square of compact groups in terms of quotients of free compact groups. As a first consequence they determine a new upper bound for the weight of the non-abelian tensor square.
Ramabulana M, Russo F
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AIP Conference Proceedings, 2014
Torsion free crystallographic groups, called Bieberbach groups, appear as fundamental groups of compact, connected, flat Riemannian manifolds and have many interesting properties. New properties of the group can be obtained by, not limited to, exploring the groups and by computing their homological functors such as nonabelian tensor squares, the ...
Tan Yee Ting +4 more
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Torsion free crystallographic groups, called Bieberbach groups, appear as fundamental groups of compact, connected, flat Riemannian manifolds and have many interesting properties. New properties of the group can be obtained by, not limited to, exploring the groups and by computing their homological functors such as nonabelian tensor squares, the ...
Tan Yee Ting +4 more
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On the normality of Cayley digraphs of valency 2 on nonabelian groups of odd square free order [PDF]
Australas. J Comb., 2000 Let \(G\) be a finite group and let \(S\) be a subset of \(G\). The Cayley digraph \(\Gamma=\text{Cay}(G,S)\) has \(V(\Gamma)=G\) as set of vertices and \(E(\Gamma)=\{(g,sg): g\in G,\;s\in S\}\) as set of arcs. It is well known that \(\Gamma\) is strongly connected if and only if \(S\) is a generating set of \(G\) and that the right regular ...
Jiong-Sheng Li, Ping Wang
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Strong indecomposability of the outer automorphism groups of nonabelian free profinite groups
Journal of Group TheoryAbstract In this paper, we prove that the outer automorphism groups of nonabelian topologically finitely generated free profinite groups are strongly indecomposable. This means that no open subgroup has a nontrivial direct product decomposition.
Arata Minamide, Shota Tsujimura
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