Results 51 to 60 of about 251 (146)

Automorphisms of relatively free nilpotent groups of infinite rank

open access: yesJournal of Algebra, 1989
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
openaire   +2 more sources

Entropy rigidity for cusped Hitchin representations

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
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
wiley   +1 more source

Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
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

open access: yesJournal of Algebra, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Some infinite soluble groups, their modules, and the arithmeticity of associated automorphism groups

open access: yesJournal of Algebra, 2005
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.
openaire   +2 more sources

The automorphism groups of relatively free groups of infinite rank

open access: yes, 2008
In Russian, a pre-publication preprint of an article published in ...
openaire   +2 more sources

Separable representations for automorphism groups of infinite symmetric spaces

open access: yesJournal of Functional Analysis, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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