Hostname: page-component-5cf477f64f-zrtmk Total loading time: 0 Render date: 2025-04-05T12:50:28.343Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected], [email protected]
Walter D. Neumann
Affiliation:
Department of Mathematics, The University of Melbourne, Parkville Vic 3052, Australia, e-mail: [email protected], [email protected]
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

[1]Benson, M., ‘Growth series of finite extensions of ℤn are rational’, Invent. Math. 73 (1983), 251–269.CrossRefGoogle Scholar
[2]Epstein, D.B.A., Cannon, J.W., Holt, D.F., Levy, S.V.F., Paterson, M.S. and Thurston, W.P., Word processing in groups (Jones and Bartlett, 1992).CrossRefGoogle Scholar
[3]Neumann, W.D. and Shapiro, M., ‘Automatic structures, rational growth and geometrically finite groups’, Invent. Math. 120 (1995), 259–287.CrossRefGoogle Scholar