The fundamental group of quotients of products of some topological spaces by a finite group - A generalization of a Theorem of Bauer-Catanese-Grunewald-Pignatelli: Le groupe fondamental de quotients de produits de certains espaces topologiques par ungroupe fini — Généralisation d’un théorème de Bauer–Catanese–Grunewald–Pignatelli [PDF]
Épijournal de Géométrie Algébrique, 2021 We provide a description of the fundamental group of the quotient of a product of topological spaces X i, each admitting a universal cover, by a finite group G, provided that there is only a finite number of path-connected components in X g i for every g
Rodolfo Aguilar
doaj +1 more source
Generic properties of random subgroups of a free group for general distributions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We consider a generalization of the uniform word-based distribution for finitely generated subgroups of a free group. In our setting, the number of generators is not fixed, the length of each generator is determined by a random variable with some simple ...
Frédérique Bassino +2 more
doaj +1 more source
SgpDec : Cascade (de)compositions of finite transformation semigroups and permutation groups [PDF]
, 2014 We describe how the SgpDec computer algebra package can be used for composing and decomposing permutation groups and transformation semigroups hierarchically by directly constructing substructures of wreath products, the so called cascade products.Final ...
C. Wells +3 more
core +2 more sources
Orbit equivalence rigidity for ergodic actions of the mapping class group
, 2008 We establish orbit equivalence rigidity for any ergodic, essentially free and measure-preserving action on a standard Borel space with a finite positive measure of the mapping class group for a compact orientable surface with higher complexity.
A. Connes +14 more
core +1 more source
Mathematics discovered, invented, and inherited [PDF]
, 2013 The classical platonist/formalist dilemma in philosophy of mathematics can be expressed in lay terms as a deceptively naive question: is new mathematics discovered or invented?
Borovik, Alexandre
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Post-Quantum Cryptography: S381 Cyclic Subgroup of High Order
, 2017 Currently there is an active Post-Quantum Cryptography (PQC) solutions search, which attempts to find cryptographic protocols resistant to attacks by means of for instance Shor polynomial time algorithm for numerical field problems like integer ...
Hecht, Pedro
core +1 more source
Tree-irreducible automorphisms of free groups
, 2013 We introduce a new class of automorphisms $\varphi$ of the non-abelian free group $F_N$ of finite rank $N \geq 2$ which contains all iwips (= fully irreducible automorphisms), but also any automorphism induced by a pseudo-Anosov homeomorphism of a ...
G. Levitt +4 more
core +3 more sources
The mapping-torus of a free group automorphism is hyperbolic relative to the canonical subgroups of polynomial growth [PDF]
, 2008 We prove that the mapping torus group $\FN \rtimes_{\alpha} \Z$ of any automorphism $\alpha$ of a free group $\FN$ of finite rank $n \geq 2$ is weakly hyperbolic relative to the canonical (up to conjugation) family $\mathcal H(\alpha)$ of subgroups of ...
Gautero, Francois, Lustig, Martin
core +5 more sources
Totally disconnected locally compact groups locally of finite rank
, 2015 We study totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contain a compact open subgroup with finite rank. We show such groups that additionally admit a pro-$\pi$ compact open subgroup for some finite set of primes $\pi ...
Wesolek, Phillip
core +1 more source
Algebraic geometry over algebraic structures II: Foundations [PDF]
, 2011 In this paper we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove Unification Theorems which gather the description of coordinate algebras by several ways.Comment: 55 ...
Daniyarova, Evelina +2 more
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