A 2-generated just-infinite profinite group which is not positively generated.

Lucchini, Andrea

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Publication date

January 2004

DOI

10.1007/BF02772214

Publisher

Springer Science and Business Media LLC

ISSN

0021-2172

Abstract

Based among others on examples of W. M. Kantor and A. Lubotzky, L. Pyber has asked whether every finitely generated profinite group which is not PFG admits an infinite epimorphic image which is PFG. We show that the answer is negative, by constructing a 2-generated profinite group which is not PFG, and all of whose proper epimorphic images are finite

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A 2-generated just-infinite profinite group which is not positively generated.

Abstract

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A 2-generated just-infinite profinite group which is not positively generated.

Abstract

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