Abstract
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 language | American English |
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Pages (from-to) | 1279-1284 |
Number of pages | 6 |
Journal | Proceedings of the American Mathematical Society |
Volume | 122 |
Issue number | 4 |
DOIs | |
State | Published - Dec 1994 |