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- W1988331261 abstract "In this paper we show using a purely combinatorial argument that a finitely generated infinite group such that fE(n)⩽ans, where a is a constant, admits for every ϵ a sequence {gi,ϵ} of non-unit elements whose centralizer contains more than i1/2−ϵ elements of length less than i. Of course, the interest of this result is in the fact that it excludes the possibility that the group is a pure torsion group, since otherwise the existence of the sequence {gi,ϵ} is obvious. As an application of this result, we show that, in the case where r<3/2, there exists an element whose centralizer has finite index in G." @default.
- W1988331261 created "2016-06-24" @default.
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- W1988331261 date "2003-07-01" @default.
- W1988331261 modified "2023-09-27" @default.
- W1988331261 title "Conjugacy classes and growth conditions" @default.
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- W1988331261 doi "https://doi.org/10.1016/s0021-8693(03)00029-2" @default.
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