IJPAM: Volume 89, No. 3 (2013)
ON THE K-RING OF THE CLASSIFYING SPACE
OF THE DIHEDRAL GROUP
OF THE DIHEDRAL GROUP
Mehmet Kirdar
Department of Mathematics
Faculty of Arts and Sciences
Namik Kemal University
Tekirdag, TURKEY
Department of Mathematics
Faculty of Arts and Sciences
Namik Kemal University
Tekirdag, TURKEY
Abstract. We describe the K-ring of the classifying space of the dihedral group in
terms of generators and the minimal set of relations by emphasising the
connection with the polynomials arising in the KO-rings of lens spaces and
demonstrating the generators of the filtrations of the Atiyah-Hirzebruch spectral squence.
Received: July 18, 2013
AMS Subject Classification: 55R50, 20C10
Key Words and Phrases: topological K-theory, representation theory, dihedral groups
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DOI: 10.12732/ijpam.v89i3.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 89
Issue: 3
