Infinite generation of automorphism groups of free pro-\(p\) groups
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Publication:1335917
DOI10.1007/BF00975176zbMath0824.20031MaRDI QIDQ1335917
Publication date: 8 November 1994
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
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
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
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