Download or read book Implications in Morava $K$-Theory written by Richard M. Kane and published by American Mathematical Soc.. This book was released on 1986 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies the mod 2 cohomology [italic]H*[italic]X of finite [italic]H-spaces. It is shown that when [italic]X is connected and simply connected then [italic]H*[italic]X has no indecomposables of even degree. As a consequence, [italic]H*([capital Greek]Omega[italic]X;[bold]Z) and [italic]K*[italic]X have no 2 torsion. The main result is proved by using Morava [script]K-theory.