论文信息 - Parafree fundamental groups of graphs of groups with cyclic edge subgroups - 字舞流文

Parafree fundamental groups of graphs of groups with cyclic edge subgroups

We determine when the fundamental group of a finite graph of groups with cyclic edge subgroups is parafree.

Andrei Jaikin-Zapirain | Ismael Morales

[1] Laurent Bartholdi,et al. Infinite groups : geometric, combinatorial and dynamical aspects , 2005 .

[2] R. G. Möller. Groups acting on graphs , 1991 .

[3] I. Hughes. Division Rings of Fractions for Group Rings , 1970 .

[4] Gilbert Baumslag,et al. Groups with the same lower central sequence as a relatively free group , 1967 .

[5] K. Gruenberg. Residual Properties of Infinite Soluble Groups , 1957 .

[6] I. Chiswell. Exact sequences associated with a graph of groups , 1976 .

[7] A. Jaikin-Zapirain. Free $\mathbb Q$-groups are residually torsion-free nilpotent , 2022, 2212.00402.

[8] Detecting large groups , 2007, math/0702571.

[9] P. M. Cohn,et al. GROUPS ACTING ON GRAPHS (Cambridge Studies in Advanced Mathematics 17) , 1990 .

[10] A. Jaikin‐Zapirain,et al. The universality of Hughes-free division rings , 2021 .

[11] Warren Dicks,et al. On a Theorem of Ian Hughes About Division Rings of Fractions , 2004 .

[12] H. Bass. Covering theory for graphs of groups , 1993 .