Frobenius subgroups of free profinite products

We solve an open problem of Herfort and Ribes: profinite Frobenius groups of certain type do occur as closed subgroups of free profinite products of two profinite groups. This also solves a question of Pop about prosolvable subgroups of free profinite products.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2011-06, Vol.43 (3), p.467-477
Hauptverfasser: Guralnick, Robert M., Haran, Dan
Format: Artikel
Sprache:eng
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Zusammenfassung:We solve an open problem of Herfort and Ribes: profinite Frobenius groups of certain type do occur as closed subgroups of free profinite products of two profinite groups. This also solves a question of Pop about prosolvable subgroups of free profinite products.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms/bdq114