Stable Exponents in Discrete Groups |
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| Authors: | Michel Coornaert |
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| Institution: | (1) Institut de Recherche Mathématique Avancée, Université Louis Pasteur et CNRS, 7 rue René Descartes, 67084 Strasbourg Cedex, France |
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| Abstract: | It is known that in a word hyperbolic group the stable exponent of every nontorsion element is an integer. We prove that this is also true in finitely generated nilpotent groups. On the other hand, we show that for any rational number   1 there exists a torsionfree CAT(0) group containing an element whose stable exponent is equal to . |
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| Keywords: | CAT(0)-group nilpotent group stable exponent |
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