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On a family of cyclically-presented fundamental groups

Part of: Low-dimensional topology Special aspects of infinite or finite groups Group theory and generalizations

Published online by Cambridge University Press:  09 April 2009

M. F. Newman
M. F. Newman
Affiliation:
School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia
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Abstract

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Bounds are obtained for the minimum number of generators for the fundamental groups of a family of closed 3-dimensional manifolds. A significant role has been played by the use of computers.

Keywords

cyclically-presented groupfundamental groupgeneratro numbermachine computation

MSC classification

Secondary: 20F05: Generators, relations, and presentations 20-04: Explicit machine computation and programs (not the theory of computation or programming) 57M05: Fundamental group, presentations, free differential calculus
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 71 , Issue 2 , October 2001 , pp. 235 - 242
Copyright
Copyright © Australian Mathematical Society 2001

References

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