NAGIOS: RODERIC FUNCIONANDO

Group Extensions and Graphs

Repositori DSpace/Manakin

dc.contributor.author	Ballester-Bolinches, Adolfo
dc.contributor.author	Cosme i Llópez, Enric
dc.contributor.author	Esteban Romero, Ramón
dc.date.accessioned	2019-01-25T14:32:57Z
dc.date.available	2019-01-25T14:32:57Z
dc.date.issued	2016
dc.identifier.citation	Ballester-Bolinches, Adolfo Cosme i Llópez, Enric Esteban Romero, Ramón 2016 Group Extensions and Graphs Expositiones Mathematicae 34 3 327 334
dc.identifier.uri	http://hdl.handle.net/10550/68724
dc.description.abstract	A classical result of Gaschütz affirms that given a finite A-generated group G and a prime p, there exists a group G# and an epimorphism φ:G#⟶G whose kernel is an elementary abelian p-group which is universal among all groups satisfying this property. This Gaschütz universal extension has also been described in the mathematical literature with the help of the Cayley graph. We give an elementary and self-contained proof of the fact that this description corresponds to the Gaschütz universal extension. Our proof depends on another elementary proof of the Nielsen-Schreier theorem, which states that a subgroup of a free group is free.
dc.language.iso	eng
dc.relation.ispartof	Expositiones Mathematicae, 2016, vol. 34, num. 3, p. 327-334
dc.subject	Grups, Teoria de
dc.subject	Matemàtica
dc.title	Group Extensions and Graphs
dc.type	journal article	es_ES
dc.date.updated	2019-01-25T14:32:58Z
dc.identifier.doi	10.1016/j.exmath.2015.07.005
dc.identifier.idgrec	101873
dc.rights.accessRights	open access	es_ES