Subgroup separability of graphs of free groups with cyclic edge groups

Authors
Wise, DT
Citation
Dt. Wise, Subgroup separability of graphs of free groups with cyclic edge groups, Q J MATH, 51, 2000, pp. 107-129
Citations number
27
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
51
Year of publication
2000
Part
1
Pages
107 - 129
Database
ISI
SICI code
0033-5606(200003)51:<107:SSOGOF>2.0.ZU;2-U
Abstract
It is shown that pi(1) of a finite graph of free groups with cyclic edge gr oups is subgroup separable unless pi(1) has a non-trivial element g such th at g(n) similar to g(m) with n not equal +/-m. It is easy to decide from th e presentation if such a conjugacy exists.