Results 21 to 30 of about 51 (50)

Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
wiley   +1 more source

On profinite rigidity amongst free‐by‐cyclic groups I: The generic case

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract We prove that amongst the class of free‐by‐cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever G$G$ is a free‐by‐cyclic group with first Betti number equal to one, and H$H$ is a free‐by‐cyclic group which is profinitely isomorphic to G$G$, the ranks of the fibres and the characteristic ...
Sam Hughes, Monika Kudlinska
wiley   +1 more source

Structure of quasiconvex virtual joins

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract Let G$G$ be a relatively hyperbolic group and let Q$Q$ and R$R$ be relatively quasiconvex subgroups. It is known that there are many pairs of finite index subgroups Q′⩽fQ$Q^{\prime } \leqslant _f Q$ and R′⩽fR$R^{\prime } \leqslant _f R$ such that the subgroup join ⟨Q′,R′⟩$\langle Q^{\prime }, R^{\prime } \rangle$ is also relatively quasiconvex,
Lawk Mineh
wiley   +1 more source

Witt vectors with coefficients and TR

Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We give a new construction of p$p$‐typical Witt vectors with coefficients in terms of ghost maps and show that this construction is isomorphic to the one defined in terms of formal power series from the authors' previous paper. We show that our construction recovers Kaledin's polynomial Witt vectors in the case of vector spaces over a perfect ...
Emanuele Dotto, Achim Krause, Thomas Nikolaus, Irakli Patchkoria   +3 more
wiley   +1 more source

Arithmetic Satake compactifications and algebraic Drinfeld modular forms

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley   +1 more source

Substitutions on compact alphabets

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
wiley   +1 more source

On the parameterized Tate construction

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension Ĝ$\widehat{G}$ of a finite group G$G$ by a compact Lie group K$K$, which we call the parameterized Tate construction (−)tGK$(-)^{t_G K}$.
J. D. Quigley, Jay Shah
wiley   +1 more source

Sparsity of stable primes for dynamical sequences

Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 203-217, January 2025.
Abstract We show that a dynamical sequence (fn)n∈N$(f_n)_{n\in \mathbb {N}}$ of polynomials over a number field whose set of stable primes is of positive density must necessarily have a very restricted, and, in particular, virtually prosolvable dynamical Galois group. Together with existing heuristics, our results suggest, moreover, that a polynomial f$
Joachim König
wiley   +1 more source

Galois invariants of finite abelian descent and Brauer sets

Bulletin of the London Mathematical Society, Volume 56, Issue 10, Page 3240-3256, October 2024.
Abstract For a variety over a global field, one can consider subsets of the set of adelic points of the variety cut out by finite abelian descent or Brauer–Manin obstructions. Given a Galois extension of the ground field, one can consider similar sets over the extension and take Galois invariants.
Brendan Creutz, Jesse Pajwani, José Felipe Voloch   +2 more
wiley   +1 more source

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Subgroups of free profinite groups and large subfields of $$\mathop Q\limits^ \sim $$

Israel Journal of Mathematics, 1981
We prove that many subgroups of free profinite groups are free, and use this to give new examples of pseudo-algebraically closed subfields of\(\mathop Q\limits^ \sim \) satisfying Hilbert’s Irreducibility Theorem, and to solve problems posed by M. Jarden and A. Macintyre.
A. Lubotzky, L. van den Dries
openaire   +1 more source