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On the projective class group of arithmetic groups

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Publication:1835986
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DOI10.1007/BF01163509zbMath0505.20033OpenAlexW2005774210MaRDI QIDQ1835986

Balz Buergisser

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173368


zbMATH Keywords

symplectic groupsarithmetic groupsreduced projective class groupp- torsion elements


Mathematics Subject Classification ID

Linear algebraic groups over global fields and their integers (20G30) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)


Related Items

The p ‐periodicity of the groups GL ( n, O s ( K )) and SL( n, O s ( K )) ⋮ On finite nilpotent matrix groups over integral domains. ⋮ Integral group rings: Groups of units and classical K-theory



Cites Work

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  • Projective module groups of \(SL_n(\mathbb{Z})\) and \(GL_n(\mathbb{Z})\)
  • On the Euler class of representations of finite groups over real fields
  • Elements of finite order in symplectic groups
  • Nontrivial lower bounds for class groups of integral group rings
  • Locally free classgroups of groups of prime power order
  • Projective class groups of symmetric and alternating groups
  • Endliche Gruppen I
  • Class groups of integral group rings
  • Class groups for integral representations of metacyclic groups
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