Profinite groups with linear subgroup growth

Aner Shalev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We show that profinite groups with linear subgroup growth have a prosoluble open subgroup, while profinite groups with faster subgroup growth need not have this property. Our proofs involve some number theory and the structure of finite simple groups. profinite groups, subgroup growth, finite simple groups.

Original languageAmerican English
Pages (from-to)379-386
Number of pages8
JournalPublicationes Mathematicae Debrecen
Volume69
Issue number3
StatePublished - 2006

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