A necessary and sufficient condition for a connected amenable group to have polynomial growth
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- by S. Ganesan PDF
- Proc. Amer. Math. Soc. 93 (1985), 176-178 Request permission
Abstract:
It is shown that a connected amenable group $G$ has polynomial growth if, and only if, given any open subsemigroup $S$ of $G$ and a compact set $K$ in $G$ there exists an $s$ in $S$ such that ${K_s} \subset S$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 176-178
- MSC: Primary 22D05; Secondary 43A07
- DOI: https://doi.org/10.1090/S0002-9939-1985-0766551-7
- MathSciNet review: 766551