The Frattini module

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The Frattini module and p ′ - automorphisms of free pro - p groups

If a non-trivial subgroup A of the group of continuous automorphisms of a noncyclic free pro-p group F has finite order, not divisible by p, then the group of fixed points FixF (A) has infinite rank. The semi-direct product F>!A is the universal p-Frattini cover of a finite group G, and so is the projective limit of a sequence of finite groups starting with G, each a canonical group extension o...

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ژورنال

عنوان ژورنال: Archiv der Mathematik

سال: 1978

ISSN: 0003-889X,1420-8938

DOI: 10.1007/bf01226050