Mathematics and Statistics Vol. 3(3), pp. 58 - 64
DOI: 10.13189/ms.2015.030302
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Ossa's Theorem via the Kunneth Formula

Robert Bruner ¹, Khairia Mira ^2,*, Laura Stanley ³, Victor Snaith ^3
1 Department of Mathematics, Wayne State University, Detroit, Michigan 48202, USA
² Department of Mathematics, Science Faculty, Tripoli University, Libya
³ School of Mathematics and Statistics, Faculty of Science, University of Sheffield, UK

ABSTRACT

Let p be a prime. We calculate the connective unitary K-theory of the smash product of two copies of the classifying space for the cyclic group of order p, using a Kunneth formula short exact sequence. As a corollary, using the Bott exact sequence and the mod 2 Hurewicz homomorphism we calculate the connective orthogonal K-theory of the smash product of two copies of the classifying space for the cyclic group of order two.

KEYWORDS
Connective K-theory, Künneth Formula

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Robert Bruner , Khairia Mira , Laura Stanley , Victor Snaith , "Ossa's Theorem via the Kunneth Formula," Mathematics and Statistics, Vol. 3, No. 3, pp. 58 - 64, 2015. DOI: 10.13189/ms.2015.030302.

(b). APA Format:
Robert Bruner , Khairia Mira , Laura Stanley , Victor Snaith (2015). Ossa's Theorem via the Kunneth Formula. Mathematics and Statistics, 3(3), 58 - 64. DOI: 10.13189/ms.2015.030302.