Finitely presentable, non-Hopfian groups with Kazhdan's Property~(T) and infinite outer automorphism group

DOI10.1090/S0002-9939-06-08588-1zbMath1184.20035arXivmath/0502140OpenAlexW2950325604MaRDI QIDQ3420073

Yves De Cornulier

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502140

zbMATH Keywords

\(p\)-adic groupsouter automorphism groupsfinitely presented groupsnon-Hopfian groupsKazhdan groups

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Cohomology of Lie (super)algebras (17B56) Linear algebraic groups over local fields and their integers (20G25)

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Cites Work

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• Arithmetic subgroups of algebraic groups
• Finite presentability of S-arithmetic groups. Compact presentability of solvable groups
• The Frattini Subgroups of Finitely Generated Groups
• Kazhdan groups with infinite outer automorphism group
• On the Mautner Phenomenon and Groups with Property (T)
• Erzeugende und Relationen verallgemeinerter Einheitengruppen.
• Bounded generation and Kazhdan's property (T)