TY - JOUR
T1 - Fraïssé limits of limit groups
AU - Kharlampovich, Olga
AU - Myasnikov, Alexei
AU - Sklinos, Rizos
N1 - Publisher Copyright:
© 2019
PY - 2020/3/1
Y1 - 2020/3/1
N2 - We modify the notion of a Fraïssé class and show that various interesting classes of groups, notably the class of nonabelian limit groups and the class of finitely generated elementary free groups, admit Fraïssé limits. Furthermore, we rediscover Lyndon's Z[t]-exponential completions of countable torsion-free CSA groups, as Fraïssé limits with respect to extensions of centralizers.
AB - We modify the notion of a Fraïssé class and show that various interesting classes of groups, notably the class of nonabelian limit groups and the class of finitely generated elementary free groups, admit Fraïssé limits. Furthermore, we rediscover Lyndon's Z[t]-exponential completions of countable torsion-free CSA groups, as Fraïssé limits with respect to extensions of centralizers.
KW - Fraïssé limit
KW - Free group
KW - Limit group
KW - Lyndon exponential group
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U2 - 10.1016/j.jalgebra.2019.08.003
DO - 10.1016/j.jalgebra.2019.08.003
M3 - Article
AN - SCOPUS:85070699840
SN - 0021-8693
VL - 545
SP - 300
EP - 323
JO - Journal of Algebra
JF - Journal of Algebra
ER -