| |
|
Daniel Allen, Megan Cream, Kate Finlay, John Meier, and Ranjan Rohatgi
Complete growth series and products of groups view print
|
|
| Published: |
June 3, 2011 |
| Keywords: |
complete growth series, free products, graph products |
| Subject: |
20F65, 20E06, 20E22 |
|
|
Abstract
The property of having a rational complete growth series is shown to be preserved
by direct and graph products, as well as certain free products with amalgamation.
These results extend earlier work of Alonso, Chiswell and Lewin.
|
|
| Acknowledgements
The authors thank the NSF for the support of grant DMS-055282.
|
|
| Author information
Daniel Allen:
Department of Mathematics, University of Maine at Farmington
daniel.steven.allen@gmail.com
Megan Cream:
Department of Mathematics, Emory University
mcream@emory.edu
Kate Finlay:
Department of Mathematics, Lafayette College
finlayk@lafayette.edu
John Meier:
Department of Mathematics, Lafayette College
meierj@lafayette.edu
Ranjan Rohatgi:
Department of Mathematics, Northwestern University
ranjan@u.northwestern.edu
|
|
