Automorphisms of differential groups
A. Zajtz (1972)
Colloquium Mathematicae
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A. Zajtz (1972)
Colloquium Mathematicae
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Hidalgo, Rubén A. (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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B. A. F. Wehrfritz (2015)
Colloquium Mathematicae
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If X is a property or a class of groups, an automorphism ϕ of a group G is X-finitary if there is a normal subgroup N of G centralized by ϕ such that G/N is an X-group. Groups of such automorphisms for G a module over some ring have been very extensively studied over many years. However, for groups in general almost nothing seems to have been done. In 2009 V. V. Belyaev and D. A. Shved considered the general case for X the class of finite groups. Here we look further at the finite case...
Grundhöfer, Theo, Stroppel, Markus (2008)
Beiträge zur Algebra und Geometrie
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Giovanni Cutolo (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A characterization of central automorphisms of groups is given. As an application, we obtain a new proof of the centrality of power automorphisms.
H. de Vries, A.B. de Miranda (1957/58)
Mathematische Zeitschrift
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Hans Liebeck, Desmond MacHale (1972)
Mathematische Zeitschrift
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Bruno Zimmermann, Shicheng Wang (1994)
Mathematische Zeitschrift
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Jesper M. Møller (2007)
Fundamenta Mathematicae
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This is the first part of a paper that classifies 2-compact groups. In this first part we formulate a general classification scheme for 2-compact groups in terms of their maximal torus normalizer pairs. We apply this general classification procedure to the simple 2-compact groups of the A-family and show that any simple 2-compact group that is locally isomorphic to PGL(n+1,ℂ) is uniquely N-determined. Thus there are no other 2-compact groups in the A-family than the ones we already know....
Ulderico Dardano, Silvana Rinauro (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Izabela Malinowska (1994)
Rendiconti del Seminario Matematico della Università di Padova
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R.B. Howlett, P.J. Rowley, D.E. Taylor (1997)
Manuscripta mathematica
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Everett C. Dade (1970)
Mathematische Zeitschrift
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