Subgroup separability of graphs of free groups with cyclic edge groups

Author: Wise T.

Source: Quarterly Journal of Mathematics, Volume 51, Number 1, March 2000 , pp. 107-129(23)

Publisher: Oxford University Press

Abstract:

It is shown that [pgr] 1 of a finite graph of free groups with cyclic edge groups is subgroup separable unless [pgr] 1 has a non-trivial element g such that gⁿ [sim] g^m with n [ne] -m. It is easy to decide from the presentation if such a conjugacy exists.

Language: English

Document Type: Original article

Affiliations: Fine Hall, Princeton University, Princeton, NJ 08544, USA, : 1: Department of Mathematics, White Hall, Cornell University, Ithaca, NY 14853, USA, E-mail: daniwise@math.cornell.edu

Publication date: 2000-03-01

• The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. Areas such as algebra, differential geometry, and global analysis receive particular emphasis. However the journal avoids specialization.

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