The obstruction to group extensions and the realization of finite groups by symmetries of aspherical manifolds

DOI10.1007/BF01195022zbMath0578.57010MaRDI QIDQ1066525

Bruno P. Zimmermann

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

fundamental groupgroup of homeomorphismsouter automorphism groupclosed aspherical manifoldNielsen realization problemobstruction against group extensionsrealizing outer automorphism by homeomorphisms

Mathematics Subject Classification ID

Finite transformation groups (57S17) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Algebraic topology on manifolds and differential topology (57R19)

Related Items (1)

OBSTRUCTION THEORY IN CROSSED MODULES

Cites Work

• Nielsensche Realisierungssätze für Seifertfaserungen
• Über Gruppen von Homöomorphismen Seifertscher Faserräume und flacher Mannigfaltigkeiten
• Failure of Nielsen's theorem in higher dimensions
• Cohomology theory in abstract groups. II

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