Vol. 46, No. 2, 1973

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On realizing HNN groups in 3-manifolds

C. D. Feustel and Robert John Gregorac

Vol. 46 (1973), No. 2, 381–387
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
Authors
C. D. Feustel
Robert John Gregorac