PROFINITE GROUPS WITH FEW CONJUGACY CLASSES OF p-ELEMENTS

被引：1

作者：

Wilson, John S. ^{[1
,2
]}

机构：

[1] Univ Leipzig, Math Inst, D-04109 Leipzig, Germany

[2] Univ Cambridge Christs Coll, Cambridge CB2 3BU, England

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 08期

关键词：

D O I：

10.1090/proc/15925

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that a profinite group G has fewer than 2(N0) conjugacy classes of p-elements for an odd prime p if and only if its p-Sylow p-subgroups are finite. (Here, by a p-element one understands an element that either has p-power order or topologically generates a group isomorphic to Z(p).) A weaker result is proved for p = 2.

引用

页码：3297 / 3305

页数：9

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