Profinite groups with few conjugacy classes of elements of infinite order

It is proved that every finitely generated profinite group with fewer than 2 ℵ 0 conjugacy classes of elements of infinite order is finite.

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Bibliographic Details
Published in:Archiv der Mathematik 2023-06, Vol.120 (6), p.557-563
Main Author: Wilson, John S.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:It is proved that every finitely generated profinite group with fewer than 2 ℵ 0 conjugacy classes of elements of infinite order is finite.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-023-01851-4