On automorphisms of relatively free groups
Andrzej Mostowski (1962)
Fundamenta Mathematicae
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Displaying similar documents to “-adic completions and automorphisms of nilpotent groups”
On automorphisms of relatively free groups
Automorphisms fixing every Normal Subgroup of a Nilpotent-by-abelian Group
Gérard Endimioni (2008)
Rendiconti del Seminario Matematico della Università di Padova
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Automorphism groups of free metabelian nilpotent groups.
([unknown])
Algebra i Logika
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A Note on Automorphisms of Free Nilpotent Groups
Sandro Mattarei (2007)
Bollettino dell'Unione Matematica Italiana
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-- We exhibit normal subgroups of a free nilpotent group F of rank two and class three, which have isomorphic finite quotients but are not conjugate under any automorphism of F.
Infinite soluble groups with no outer automorphisms
Derek J. S. Robinson (1980)
Rendiconti del Seminario Matematico della Università di Padova
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Nilpotent height of finite groups admitting fixed-point-free automorphisms.
Frederick Hoffmann (1964)
Mathematische Zeitschrift
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On the structure of the automorphism group of a nilpotent group
Schenkman, Eugene (1954)
Portugaliae mathematica
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Groups in which the derived groups of all 2-generator subgroups are cyclic
Patrizia Longobardi, Mercede Maj, Howard Smith (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Almost fixed-point-free automorphisms of prime order
Bertram Wehrfritz (2011)
Open Mathematics
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Let ϕ be an automorphism of prime order p of the group G with C G(ϕ) finite of order n. We prove the following. If G is soluble of finite rank, then G has a nilpotent characteristic subgroup of finite index and class bounded in terms of p only. If G is a group with finite Hirsch number h, then G has a soluble characteristic subgroup of finite index in G with derived length bounded in terms of p and n only and a soluble characteristic subgroup of finite index in G whose index and derived...
On groups of odd order admitting an elementary 2-group of automorphisms
Karise G. Oliveira, Pavel Shumyatsky, Carmela Sica (2011)
Rendiconti del Seminario Matematico della Università di Padova
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