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10 - Generalized Baumslag-Solitar groups: a topological approach

Published online by Cambridge University Press:  21 November 2024

Edited by
C. M. Campbell ,
M. R. Quick ,
E. F. Robertson ,
C. M. Roney-Dougal  and
D. I. Stewart
C. M. Campbell
Affiliation:
University of St Andrews, Scotland
M. R. Quick
Affiliation:
University of St Andrews, Scotland
E. F. Robertson
Affiliation:
University of St Andrews, Scotland
C. M. Roney-Dougal
Affiliation:
University of St Andrews, Scotland
D. I. Stewart
Affiliation:
University of Manchester
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Summary

Generalized Baumslag-Solitar groups are a class of combinatorially interesting groups. Their group theory is also closely associated to a the topology of a class of 2-dimensional spaces. These 2-dimensional spaces are Seifert fibred. We develop the basic topology of these fibrations and derive some of the most immediate group theoretic consequences of this topology.

Keywords

graph of groupsBaumslag-solitar groups
Type
Chapter
Information
Groups St Andrews 2022 in Newcastle , pp. 407 - 440
Publisher: Cambridge University Press
Print publication year: 2024

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References

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