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The action of the primitive Steenrod–Milnor operations on the modular invariants

Nguyễn Sum

Geometry & Topology Monographs 11 (2007) 349–367

DOI: 10.2140/gtm.2007.11.349

arXiv: 0903.5000

Abstract

We compute the action of the primitive Steenrod–Milnor operations on generators of algebras of invariants of subgroups of general linear group GLn=GL(n,Fp) in the polynomial algebra with p an odd prime number.

Keywords

invariant theory, Dickson–Mùi invariants, Steenrod–Milnor operations,

Mathematical Subject Classification

Primary: 55S10

Secondary: 55P47, 55Q45, 55T15

References
Publication

Received: 15 November 2004
Revised: 28 August 2005
Accepted: 12 December 2005
Published: 14 November 2007

Authors
Nguyễn Sum
Department of Mathematics
University of Quynhon
170 An Duong Vuong
Quynhon, Binhdinh
Vietnam