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- W2807464382 abstract "We define a group as strongly bounded if every isometric action on a metric space has bounded orbits. This latter property is equivalent to the so-called uncountable strong cofinality, recently introduced by G. Bergman. Our main result is that G^I is strongly bounded when G is a finite, perfect group and I is any set. This strengthens a result of Koppelberg and Tits. We also prove that omega_1-existentially closed groups are strongly bounded." @default.
- W2807464382 created "2018-06-13" @default.
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- W2807464382 date "2004-11-21" @default.
- W2807464382 modified "2023-10-17" @default.
- W2807464382 title "Uncountable groups with Property (FH)" @default.
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