The mod-2 cohomology of the Bianchi groups

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Abstract
  • The Bianchi groups are a family of discrete subgroups of PSL2(C) which have group theoretic descriptions as amalgamated products and HNN extensions. Using Bass-Serre theory, we show how the cohomology of these two constructions relates to the cohomology of their pieces. We then apply these results to calculate the mod-2 cohomology ring for various Bianchi groups.
TitleThe mod-2 cohomology of the Bianchi groups
CreatorBerkove, Ethan
PublisherTransactions of the American Mathematical Society
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date Issued2000
Date Available2013-02-26T18:49:14Z
TypeArticle
LanguageEnglish
Bibliographic CitationBerkove, E. (2000) "The mod-2 cohomology of the Bianchi groups." Transactions of the American Mathematical Society 352 (10): 4585-4602.
Standard IdentifierDOI 10.1090/S0002-9947-00-02505-8
Handle 10385/1124
Permalinkhttp://hdl.handle.net/10385/1124
Rights Statement In Copyright In Copyright
Rights HoldersAmerican Mathematical Society
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File Berkove-TransactionsoftheAmericanMathematicalSociety-vol352-2000.pdf Uploaded 2019-10-20 Public Download

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