The <IMG BORDER="0" SRC="/proc/2003-131-11/S0002-9939-03-06936-3/gif-title0/img1.gif" >-exponent of the <IMG BORDER="0" SRC="/proc/2003-131-11/S0002-9939-03-06936-3/gif-title0/img2.gif" >-local spectrum <IMG BORDER="0" SRC="/proc/2003-131-11/S0002-9939-03-06936-3/gif-title0/img3.gif" >期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The -exponent of the -local spectrum

Authors:	Michael J Fisher

Institution:	Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015

Abstract:	Let be a fixed odd prime. In this paper we prove an exponent conjecture of Bousfield, namely that the -exponent of the spectrum $\Phi SU(n)$ is $(n-1) + \nu_p((n-1)!)$ for $n \geq 2$ . It follows from this result that the -exponent of $\Omega^{q} SU(n) \langle i \rangle$ is at least $(n-1) + \nu_p((n-1)!)$ for $n \geq 2$ and $i,q \geq 0$ , where $SU(n) \langle i \rangle$ denotes the -connected cover of .

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