IJPAM: Volume 89, No. 3 (2013)

ON THE K-RING OF THE CLASSIFYING SPACE
OF THE DIHEDRAL GROUP

Mehmet Kirdar
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