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Regular geodesic normal forms in virtually Abelian groups

Published online by Cambridge University Press:  17 April 2009

Michael Shapiro  and
Walter D. Neumann
Michael Shapiro
Affiliation:
Department of Mathematics, The University of Melbourne, Parkville Vic 3052, Australia, e-mail: neumann@maths.mu.oz.au, shapiro@maths.mu.oz.au
Walter D. Neumann
Affiliation:
Department of Mathematics, The University of Melbourne, Parkville Vic 3052, Australia, e-mail: neumann@maths.mu.oz.au, shapiro@maths.mu.oz.au
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We describe a virtually Abelian group G generated by a finite set X such that there is no regular language of geodesic X-words that surjects to G by evaluation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 3 , June 1997 , pp. 517 - 519
Copyright
Copyright © Australian Mathematical Society 1997

References

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