On representations of direct products and the bounded generation property of branch groups

DOI10.1007/s00013-023-01844-3OpenAlexW4327861031MaRDI QIDQ2699114

Steffen Kionke, Eduard Schesler

Publication date: 26 April 2023

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

Full work available at URL: https://arxiv.org/abs/2301.01330

zbMATH Keywords

bounded generationbranch groupfaithful representations of direct products

Mathematics Subject Classification ID

Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08)

Cites Work

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• On Burnside's problem on periodic groups
• Products of free groups in Lie groups
• Property \((T)\) for noncommutative universal lattices
• Ranks of subgroups in boundedly generated groups
• Bounded Elementary Generation of SL n (O)
• FAITHFUL REPRESENTATIONS OF MINIMAL DIMENSION OF CURRENT HEISENBERG LIE ALGEBRAS
• DIAGRAMS WITH SELECTION AND METHOD FOR CONSTRUCTING BOUNDEDLY GENERATED AND BOUNDEDLY SIMPLE GROUPS
• Finitely generated groups with polynomial index growth
• Homomorphic images of Branch groups, and Serre's property (FA)
• Infinite groups whose proper quotient groups are finite, I
• Lattices in product of trees

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