bu*(BZ/p)^n as a Graded Group

  • Khairia Mohamed Mira Department of Mathematics, Faculty of Science, Tripoli University, Libya
Keywords: The connective unitary K-theory;a Kunneth formula short exact sequence.

Abstract

Let p be a prime. We calculate bu*(BZ/p)^n, the connective unitary K-theory of the n-fold smash product of the classifying space for the cyclic group of order p, as a graded group using a K\"{u}nneth formula short exact sequence for n=2 and inductively for any n>= 2.
While this smashing is in progress some other spectra appear, for instance, the spectrum HZ/p\wedge (B\Z/p)^r for r<n. In order to producing a new homotopy equivalent to bu\wedge (B\Z/p)^n, we need to find a homotopy equivalence which simplifies the spectrum H\Z/p\wedge (B\Z/p)^r.

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References

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via the Kunneth formula; Mathematics and Statistics 3(3): 58-64, 2015, DOI: 10.13189/ms.2015.030302,
http://www.hrpub.org/download/20150620/MS2-13403792.pdf
Published
2017-10-04
How to Cite
Mira, K. (2017). bu*(BZ/p)^n as a Graded Group. Journal of Progressive Research in Mathematics, 12(3), 1981-1988. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1256
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Articles