### Journals Information

**
Mathematics and Statistics Vol. 3(3), pp. 58 - 64 DOI: 10.13189/ms.2015.030302 Reprint (PDF) (100Kb) **

## 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.