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.File in questo prodotto:
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