An elementary proof about the order of the elements in a discrete group
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- by G. Crombez PDF
- Proc. Amer. Math. Soc. 85 (1982), 59-60 Request permission
Abstract:
We give an elementary direct proof of the following property: if for a discrete group $G$ some ${l_p}(G)$-space $(1 < p < \infty )$ is an algebra, then all elements of $G$ have uniformly bounded order.References
- W. Żelazko, On the Burnside problem for locally compact groups, Symposia Mathematica, Vol. XVI (Convegno sui Gruppi Topologici e Gruppi di Lie, INDAM, Rome, 1974) Academic Press, London, 1975, pp. 409–416. MR 0396841
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 59-60
- MSC: Primary 43A15; Secondary 22C05
- DOI: https://doi.org/10.1090/S0002-9939-1982-0647897-7
- MathSciNet review: 647897