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Groups which are an infinite cyclic extension of a unique base group

Published online by Cambridge University Press:  09 April 2009

A. M. Brunner ,
James McCool  and
Alfred Pietrowski
A. M. Brunner
Affiliation:
Department of Mathematics, York University, Downsview, Ontario, Canada.
James McCool
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Canada.
Alfred Pietrowski
Affiliation:
Department of Mathematics, York University, Downsview, Ontario, Canada.
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Let G be a group which has exactly one normal subgroup N with G/N infinite cyclic; clearly such a group is an HNN group with base N and stable letter t, where t induces an automorphism θ, of N under conjugation. We call such a group G a unique base group with automorphism θ, and base N.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 4 , June 1977 , pp. 499 - 503
Copyright
Copyright © Australian Mathematical Society 1977

References

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