Results 41 to 50 of about 24,182 (180)
On quasihomomorphisms with noncommutative targets [PDF]
, 2015 We describe structure of quasihomomorphisms from arbitrary groups to discrete groups. We show that all quasihomomorphisms are 'constructible', i.e., are obtained via certain natural operations from homomorphisms to some groups and quasihomomorphisms to ...
Fujiwara, Koji, Kapovich, Michael
core +3 more sources
A complete solution of Markov's problem on connected group topologies [PDF]
, 2015 Every proper closed subgroup of a connected Hausdorff group must have index at least c, the cardinality of the continuum. 70 years ago Markov conjectured that a group G can be equipped with a connected Hausdorff group topology provided that every ...
Dikranjan, Dikran, Shakhmatov, Dmitri
core +2 more sources
On structure groups of set-theoretic solutions to the Yang-Baxter equation
, 2018 This paper explores the structure groups $G_{(X,r)}$ of finite non-degenerate set-theoretic solutions $(X,r)$ to the Yang-Baxter equation. Namely, we construct a finite quotient $\overline{G}_{(X,r)}$ of $G_{(X,r)}$, generalizing the Coxeter-like groups ...
Lebed, V., Vendramin, L.
core +2 more sources
Complexity volumes of splittable groups
, 2018 Using graph of groups decompositions of finitely generated groups, we define Euler characteristic type invariants which are non-zero in many interesting classes of finitely presented, hyperbolic, limit and CSA groups, including elementarily free groups ...
Sykiotis, Mihalis
core +1 more source
Arithmetic sparsity in mixed Hodge settings
Bulletin of the London Mathematical Society, EarlyView.Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
wiley +1 more source
Residually rationally solvable one‐relator groups
Bulletin of the London Mathematical Society, EarlyView.Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
wiley +1 more source
Inertial endomorphisms of an abelian group
, 2013 We describe inertial endomorphisms of an abelian group $A$, that is endomorphisms $\varphi$ with the property $|(\varphi(X)+X)/X|
Dardano, Ulderico, Rinauro, Silvana
core +1 more source
The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh +1 more
wiley +1 more source
The $L^2$-torsion polytope of amenable groups
, 2018 We introduce the notion of groups of polytope class and show that torsion-free amenable groups satisfying the Atiyah Conjecture possess this property. A direct consequence is the homotopy invariance of the $L^2$-torsion polytope among $G$-CW-complexes ...
Funke, Florian
core +1 more source
Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source