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Author Glockner, Helge
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-09-10
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Group Theory ♦ Mathematics - Dynamical Systems ♦ 22D05 (Primary) 22D40 ♦ 22D45 (Secondary) ♦ math
Abstract In a 2004 article, Udo Baumgartner and George Willis used ideas from the structure theory of totally disconnected, locally compact groups to achieve a better understanding of the contraction group U_f associated with an automorphism f of such a group G, assuming that G is metrizable. (Recall that U_f consists of all group elements x such that f^n(x) tends to the identity element as n tends to infinity). Recently, Wojciech Jaworski showed that the main technical tool of the latter article remains valid in the non-metrizable case. He asserted without proof that, therefore, all results from that article remain valid. However, metrizability enters the arguments at a second point. In this note, we resolve this difficulty, by providing an affirmative answer to a question posed by Willis in 2004.
Educational Use Research
Learning Resource Type Article


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