Geodesic
Counterexample to a Conjecture of Greenleaf
Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 497-499

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Greenleaf states the following conjecture in [1, p. 69]. Let G be a (connected, separable) amenable locally compact group with left Haar measure, μ, and let U be a compact symmetric neighbourhood of the unit. Then the sets, {U m}, have the following property: given ɛ > 0 and compact K ⊂ G, ∃ m 0 = m 0(ɛ, K) such that 
Milnes, Paul. Counterexample to a Conjecture of Greenleaf. Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 497-499. doi: 10.4153/CMB-1970-090-9
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     title = {Counterexample to a {Conjecture} of {Greenleaf}},
     journal = {Canadian mathematical bulletin},
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     year = {1970},
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     number = {4},
     doi = {10.4153/CMB-1970-090-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-090-9/}
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