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Some results on symmetrically-presented groups

Published online by Cambridge University Press:  20 January 2009

D. L. Johnson  and
R. W. K. Odoni
D. L. Johnson
Affiliation:
Mathematics DepartmentUniversity of NottinghamUniversity Park Nottingham NG7 2RD
R. W. K. Odoni
Affiliation:
Mathematics DepartmentUniversity of GlasgowUniversity Gardens Glasgow G12 8QW
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Abstract

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Necessary and sufficient conditions are found on an ideal a⊲ℤ[x] for the additive group [a]+ of ℤ[x]/a to be finite and cyclic. As a consequence, the abelianizations of certain cyclically-presented groups are computed explicitly.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 2 , June 1994 , pp. 227 - 237
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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