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Finite extensions of free pro-P groups of rank at most two |
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| Authors: | W N Herfort L Ribes P A Zalesskii |
| Institution: | 1. Institut für Angewandte und Numerische Mathematik, Technische Universit?t Wien, A-1040, Wien, Austria 2. Department of Mathematics and Statistics, Carleton University, K1S 5B6, Ottawa, Ontario, Canada 3. Institute of Technical Cybernetics, Academy of Sciences of Belarus, 6, Surganov St., 220605, Minsk, Belarus |
| Abstract: | For a pro-p groupG, containing a free pro-p open normal subgroup of rank at most 2, a characterization as the fundamental group of a connected graph of cyclic groups of order at mostp, and an explicit list of all such groups with trivial center are given. It is shown that any automorphism of a free pro-p group of rank 2 of coprime finite order is induced by an automorphism of the Frattini factor groupF/F * . Finally, a complete list of automorphisms of finite order, up to conjugacy in Aut(F), is given. Supported by an NSERC grant. Supported by the Austrian Science Foundation. |
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