An Archimedian property for groups with polynomial growth

Ganesan, S.; Jenkins, J. W.

doi:10.1090/S0002-9939-1983-0699432-6

An Archimedian property for groups with polynomial growth
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by S. Ganesan and J. W. Jenkins PDF

Proc. Amer. Math. Soc. 88 (1983), 550-554 Request permission

Abstract:

The notion of Archimedian group is introduced. It is shown that if $G$ is either a finitely generated, solvable group or a connected, locally compact group, then $G$ is Archimedian if it has polynomial growth. A partial converse is also proven.

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