Profinite groups with few conjugacy classes of elements of infinite order

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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Veröffentlicht in:Archiv der Mathematik 2023-06, Vol.120 (6), p.557-563
1. Verfasser: Wilson, John S.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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