Open AccessOuter automorphism groups of Bieberbach groups
Author(s) -
Andrzej Szczepański
Publication year - 1996
Publication title -
bulletin of the belgian mathematical society - simon stevin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.36
H-Index - 31
eISSN - 2034-1970
pISSN - 1370-1444
DOI - 10.36045/bbms/1105652786
Subject(s) - mathematics , outer automorphism group , automorphism , inner automorphism , group (periodic table) , pure mathematics , automorphism group , physics , quantum mechanics
Let Γ be a Bieberbach group it is a fundamental group of a flat manifold. In this paper we give necessary and sufficient conditions on Out(Γ) to be infinite. We also compare our result with the previous one ([8], Theorem 7.1) about Anosov automorphisms of flat manifolds. We give several examples of Bieberbach groups.
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