Strongly Bounded Groups and Infinite Powers of Finite Groups
نویسندگان
چکیده
منابع مشابه
Strongly Bounded Groups and Infinite Powers of Finite Groups
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 Bergman. Our main result is that G 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 ω1-existentia...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2006
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870600550194