Results 51 to 60 of about 251 (146)
Automorphisms of relatively free nilpotent groups of infinite rank
The following striking result is proved: If \(F\) is a free group of infinite rank and \(V\) is a characteristic subgroup such that \(F/V\) is nilpotent, then the automorphisms of \(F/V\) are all ``tame'', in the sense of being induced by automorphisms of \(F\).
Bryant, Roger M., Macedońska, Olga
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Entropy rigidity for cusped Hitchin representations
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
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Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley +1 more source
Automorphisms of Coxeter Groups of Rank 3 with Infinite Bonds
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some infinite soluble groups, their modules, and the arithmeticity of associated automorphism groups
In recent years the authors have made detail studies of modules over a crossed product of a division ring by an Abelian group, promising us that there were group theoretic applications to come. In this current paper we get these applications, or at least some of them. There are three. The first concerns a module \(M\) over the group ring \(RG\), where \
BROOKES, C., GROVES, J.
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The automorphism groups of relatively free groups of infinite rank
In Russian, a pre-publication preprint of an article published in ...
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Separable representations for automorphism groups of infinite symmetric spaces
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Transitivity and homogeneity of orthosets and inner-product spaces over subfields of R. [PDF]
Vetterlein T.
europepmc +1 more source
Automorphism groups of relatively free groups of infinite rank: a survey
6 ...
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Controlling LEF growth in some group extensions. [PDF]
Bradford H.
europepmc +1 more source

