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- Title
Endomorphisms of polycyclic-by-finite groups.
- Authors
B. Wehrfritz
- Abstract
Abstract An endomorphism of a polycyclic group G is an automorphism if it restricts to an automorphism of the centre of the Fitting subgroup of G. The same applies to a monic endomorphism of a polycyclic-by-finite group. This extends (independent) work of D.R. Farkas and the author in the 1980s.
- Subjects
ENDOMORPHISMS; FINITE groups; POLYCYCLIC groups; AUTOMORPHISMS; GROUP theory; MATHEMATICAL analysis
- Publication
Mathematische Zeitschrift, 2010, Vol 264, Issue 3, p629
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-009-0482-2