In this paper we introduce the notion of finite virtual length for profinite groups (i.e. every series has a bounded number of infinite factors) and we prove a Jordan–Ho ̈lder type theorem for profinite groups with finite virtual length. More structural results are provided in the pronilpotent and p-adic analytic cases.

Profinite groups with finite virtual length

GAVIOLI, NORBERTO;SCOPPOLA, CARLO MARIA
2013-01-01

Abstract

In this paper we introduce the notion of finite virtual length for profinite groups (i.e. every series has a bounded number of infinite factors) and we prove a Jordan–Ho ̈lder type theorem for profinite groups with finite virtual length. More structural results are provided in the pronilpotent and p-adic analytic cases.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/88952
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