Exploració per tema "Classificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups"
Ara es mostren els items 1-17 de 17
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A description of auto-fixed subgroups in a free group
(2004-06)
Article
Accés obertLet F be a finitely generated free group. By using Bestvina-Handel theory, as well as some further improvements, the eigengroups of a given automorphism of F (and its fixed subgroup among them) are globally analyzed and ... -
A list of applications of stallings automata
(2022-11-22)
Article
Accés obertThis survey is intended to be a fast (and reasonably updated) reference for the theory of Stallings automata and its applications to the study of subgroups of the free group, with the main accent on algorithmic aspects. ... -
Algorithmic recognition of infinite cyclic extensions
(2016-10-25)
Article
Accés obertWe prove that one cannot algorithmically decide whether a finitely presented Z-extension admits a finitely generated base group, and we use this fact to prove the undecidability of the BNS invariant. Furthermore, we show ... -
Bounding the gap between a free group (outer) automorphism and its inverse
(2016-09-01)
Article
Accés obertFor any finitely generated group GG , two complexity functions aGaG and ßGßG are defined to measure the maximal possible gap between the norm of an automorphism (respectively, outer automorphism) of GG and the norm ... -
Degrees of compression and inertia for free-abelian times free groups
(Elsevier, 2021-02-15)
Article
Accés obertWe introduce the concepts of degree of inertia, diG(H), and degree of compression,dcG(H), of a finitely generated subgroupHof a given groupG. For the case of direct productsof free-abelian and free groups, we compute the ... -
Finite automata for Schreier graphs of virtually free groups
(2016-01-01)
Article
Accés obertThe Stallings construction for f.g. subgroups of free groups is generalized by introducing the concept of Stallings section, which allows efficient computation of the core of a Schreier graph based on edge folding. It is ... -
Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups
(2020-04-01)
Article
Accés obertThe classical result by Dyer–Scott about fixed subgroups of finite order automor-phisms of Fnbeing free factors of Fn is no longer true inZm×Fn. Within this more generalcontext, we prove a relaxed version in the spirit of ... -
Grups de simetria del pla i aplicacions
(Universitat Politècnica de Catalunya, 2014-07)
Treball Final de Grau
Accés obertL'objectiu d'aquest treball és estudiar i classificar els 17 grups de simetria que existeixen en el pla euclidià. El que es fa és utilitzar coneixements ja adquirits al llarg de la carrera, en assignatures com Geometria ... -
Intersection configurations in free and free times free-abelian groups
(Cambridge University Press, 2023-09-11)
Article
Accés obertIn this paper, we study intersection configurations – which describe the behaviour of multiple (finite) intersections of subgroups with respect to finite generability – in the realm of free and free times free-abelian ... -
Intersection problem for Droms RAAGs
(2018-01-01)
Article
Accés obertWe solve the subgroup intersection problem (SIP) for any RAAG G of Droms type (i.e., with defining graph not containing induced squares or paths of length 3): there is an algorithm which, given finite sets of generators ... -
Irrational-slope versions of thompson's groups T and V
(2022-02-11)
Article
Accés obertIn this paper, we consider the T - and V -versions, Tt and Vt , of the irrational slope Thompson group Ft considered in J. Burillo, B. Nucinkis and L. Reeves [An irrational-slope Thompson's group, Publ. Mat. 65 (2021), ... -
Isomorphisms between graph products of groups
(Universitat Politècnica de Catalunya, 2012-06)
Projecte/Treball Final de Carrera
Accés restringit per decisió de l'autorEs donen condicions suficients per tal que la descomposició en producte gràfic d'un grup sigui única.. Un resultat clàssic sobre PC-groups diu que el PC-grup (el grup parcialment commutatiu) G(X) associat a un graf X, ... -
L'invariant BNS
(Universitat Politècnica de Catalunya, 2023-01)
Treball Final de Grau
Accés obertEl tema central d'aquest treball és l'invariant Bieri-Neuman-Streble (BNS) per grups finitament generats. Es tracta d'un concepte que relaciona l'àlgebra abstracta amb la geometria, ja que és un subconjunt obert de l'esfera ... -
Onto extensions of free groups
(2021-04-07)
Article
Accés obertRationale Cocaine addiction is a chronic relapsing disorder that lacks of an effective treatment. Isoflavones are a family of compounds present in different plants and vegetables like soybeans that share a common chemical ... -
Problemes algorísmics en grups lliure per lliure-abelià
(Universitat Politècnica de Catalunya, 2011)
Projecte Final de Màster Oficial
Accés obertEstudiem els grups lliures per lliure abelia i alguns problemes de decissió algorísmica sobre ells.. Es tracta d'estudiar els grups de la forma G=F_nxZ^m (productes directes de grups lliures per grups lliures abelians) ... -
Simple groups of type PSL(2,q)
(Universitat Politècnica de Catalunya, 2013-07)
Treball Final de Grau
Accés obertAquest projecte és una introducció a la teoria de grups finits simples. La demostració de la simplicitat del Grup Lineal Especial Projectiu (PSL, en anglès) i certs isomorfismes seran demostrats aquí. A més a més, també ... -
Stallings automata for free-times-abelian groups: intersections and index
(2022-06-22)
Article
Accés obertWe extend the classical Stallings theory (describing subgroups of free groups as automata) to direct products of free and abelian groups: after introducing enriched automata (i.e., automata with extra abelian labels), we ...