Infinite generation of automorphism groups of free pro-\(p\) groups

DOI10.1007/BF00975176zbMath0824.20031MaRDI QIDQ1335917

Vitaliĭ Roman'kov

Publication date: 8 November 1994

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

automorphism groupsnumber of generatorsfree profinite groups\(p\)-adic analytic groupsfree nilpotent groupscompleted group algebrasfree pro-\(p\) groupsfree metabelian pro-\(p\) groupsuniformly saturated pro-\(p\) groups

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Automorphism groups of groups (20F28) Limits, profinite groups (20E18)

Related Items (6)

Virtually free pro-\(p\) groups. ⋮ Free-by-finite pro-\(p\) groups and integral \(p\)-adic representations ⋮ The congruence subgroup property for \(\Aut F_2\): a group-theoretic proof of Asada's theorem. ⋮ On automorphisms of free center-by-metabelian and nilpotent groups and Lie algebras ⋮ Finite extensions of free pro-\(p\) groups of rank at most two ⋮ Cyclic extensions of free pro-\(p\) groups

Cites Work

• Unnamed Item
• Automorphism groups of free nilpotent groups
• \(p\)-adic analytic groups

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