Results 21 to 30 of about 10,652 (93)

The Kervaire-Laudenbach conjecture and presentations of simple groups

, 2004
The statement ``no nonabelian simple group can be obtained from a nonsimple group by adding one generator and one relator" 1) is equivalent to the Kervaire--Laudenbach conjecture; 2) becomes true under the additional assumption that the initial ...
A. A. Klyachko, A. A. Klyachko, A. A. Klyachko, A. A. Klyachko, A. A. Klyachko, A. Clifford, A. Clifford, J. Howie, M. Gerstenhaber, M. M. Cohen, R. C. Lyndon, R. Fenn, R. Fenn, W. Magnus   +13 more
core   +1 more source

The six operations in topology

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In this paper, we show that the six functor formalism for sheaves on locally compact Hausdorff topological spaces, as developed, for example,‐ in Kashiwara and Schapira's book Sheaves on Manifolds, can be extended to sheaves with values in any closed symmetric monoidal ∞$\infty$‐category which is stable and bicomplete. Notice that, since we do
Marco Volpe
wiley   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

The nonabelian tensor square of a Bieberbach group with symmetric point group of order six [PDF]

, 2016
Bieberbach groups are torsion free crystallographic groups. In this paper, our focus is given on the Bieberbach groups with symmetric point group of order six.
Idrus, N. M., Masri, R., Mat Hassim, H. I., Sarmin, N. H., Ting, T. Y., Wan Mohd. Fauzia, W. N. F.   +5 more
core  

On fixed‐point‐free involutions in actions of finite exceptional groups of Lie type

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Let G$G$ be a nontrivial transitive permutation group on a finite set Ω$\Omega$. By a classical theorem of Jordan, G$G$ contains a derangement, which is an element with no fixed points on Ω$\Omega$. Given a prime divisor r$r$ of |Ω|$|\Omega |$, we say that G$G$ is r$r$‐elusive if it does not contain a derangement of order r$r$. In a paper from
Timothy C. Burness, Mikko Korhonen
wiley   +1 more source

Axion‐Like Interactions and CFT in Topological Matter, Anomaly Sum Rules and the Faraday Effect

Advanced Physics Research, Volume 4, Issue 7, July 2025.
This review investigates the connection between chiral anomalies and their manifestation in topological materials, using both perturbative methods based on ordinary quantum field theory and conformal field theory (CFT). It emphasizes the role of CFT in momentum space for parity‐odd correlation functions, and their reconstruction by the inclusion of a ...
Claudio Corianò, Mario Cretì, Stefano Lionetti, Dario Melle, Riccardo Tommasi   +4 more
wiley   +1 more source

Equivariant geometry of singular cubic threefolds, II

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We study linearizability of actions of finite groups on cubic threefolds with nonnodal isolated singularities.
Ivan Cheltsov, Lisa Marquand, Yuri Tschinkel, Zhijia Zhang   +3 more
wiley   +1 more source

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

Free subgroups of one-relator relative presentations

, 2005
Suppose that G is a nontrivial torsion-free group and w is a word over the alphabet G\cup\{x_1^{\pm1},...,x_n^{\pm1}\}. It is proved that for n\ge2 the group \~G= always contains a nonabelian free subgroup.
A. A. Klyachko, A. A. Klyachko, A. A. Klyachko, A. A. Klyachko, A. A. Klyachko, A. Clifford, A. Clifford, A. Clifford, A. Clifford, D. I. Brodskii, D. I. Moldavanskii, E. Rips, F. Levin, J. R. Stallings, M. Edjvet, M. Gerstenhaber, M. M. Cohen, R. C. Lyndon, R. C. Lyndon, R. Fenn, R. Fenn, S. D. Promyslow, S. V. Ivanov, W. Magnus   +23 more
core   +5 more sources

Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
wiley   +1 more source