Conjugacy Separability in Amalgamated Products

Autor:	Luis Ribes
Rok vydání:	2017
Předmět:	Mathematics::Group Theory Pure mathematics Conjugacy class Free product Construct (python library) Finitely-generated abelian group Mathematics Separable space
Zdroj:	Profinite Graphs and Groups ISBN: 9783319610412
DOI:	10.1007/978-3-319-61199-0_15
Popis:	In this chapter one studies how conjugacy separability in abstract groups is preserved under the formation of certain free products with amalgamation. The main result shows that one can construct conjugacy separable groups by forming a free product amalgamating a cyclic subgroup of groups which are either finitely generated free-by-finite or polycyclic-by-finite; in fact one can iterate this process to obtain new conjugacy separable groups; in particular residually finite groups.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::db1f1982beec5d1bdaf521b3b83d4082 https://doi.org/10.1007/978-3-319-61199-0_15 Zobrazit plný text záznamu