On realizing HNN groups in 3-manifolds

C. D. Feustel and Robert John Gregorac

Vol. 46 (1973), No. 2, 381–387

DOI: 10.2140/pjm.1973.46.381

Abstract

In this paper we suppose that the fundamental group of a 3-manifold M has a presentation as an HNN group. We then show that under suitable conditions we can realize this presentation by embedding a closed, connected imcompressible surface in M.

Mathematical Subject Classification

Primary: 55A05

Secondary: 57A10, 20F25

Milestones

Received: 28 April 1972

Revised: 3 October 1972

Published: 1 June 1973