The P12-Margolis homology of the Dickson algebra.
Main Article Content
Abstract
Let the mod 2 Steenrod algebra, A, and the general linear group, GL(n, F2), act on F2[x1, . . . , xn] with |xi| = 1 in the usual manner. The element P 12 of the Steenrod algebra A has the property (P12)2 = 0. Homology of an A-module M with the differential to be the operation P 12 is called the P 12 - Margolis homology of M. In this paper, we compute the P 12 -Margolis homology of the Dickson algebra Dn := F2[x1, . . . , xn]GL(n,F2). We also discuss an analog conjecture of Pengelley and Sinha. (See the last remark.)
Keywords
Steenrod algebra, Milnor operation,, Margolis homology
Article Details
References
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