Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the SQ-universality of HNN groups


Authors: Benjamin Fine and Marvin Tretkoff
Journal: Proc. Amer. Math. Soc. 73 (1979), 283-290
MSC: Primary 20E34
MathSciNet review: 518506
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A group G is SQ-universal if every countable group can be embedded in a quotient of G. In this paper we give conditions under which HNN groups are SQ-universal. These are then applied to showing the SQ-universality of certain classes of Kleinian groups (discontinuous subgroups of $ PS{L_2}({\mathbf{C}})$. Finally some connections are mentioned between SQ-universality and the theory of ends.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20E34

Retrieve articles in all journals with MSC: 20E34


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0518506-2
Keywords: SQ-universal, HNN group, generalized free product, Kleinian group, Fuchsian group, Klein's combination theorem, ends of a group
Article copyright: © Copyright 1979 American Mathematical Society