Profinite groups with restricted centralizers

Aner Shalev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


Let G be a profinite group in which every centralizer CG(x) (x ϵ G) is either finite or of finite index. It is shown that G is finite-by-abelian-byfinite. Moreover, if, in addition, G is a just-infinite pro-p group, then it has the structure of a p-adic space group whose point group is cyclic or generalized quaternion.

Original languageAmerican English
Pages (from-to)1279-1284
Number of pages6
JournalProceedings of the American Mathematical Society
Issue number4
StatePublished - Dec 1994


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