On monomial bases in the mod \(p\) Steenrod algebra
type: Item
instance of: scholarly article
title: On monomial bases in the mod \(p\) Steenrod algebra
zbMATH Open document ID: 1326.55017
author: D. Yu. Emelyanov
author: Th. Yu. Popelenskii
published in: Journal of Fixed Point Theory and Applications
publication date: 2015-10-07T00:00:00Z
review text: \textit{C. T. C. Wall} gave in [Ann. Math. (2) 72, 429--444 (1960; Zbl 0137.16603)] some monomial bases for the \(\mathbb{Z}/2\)-Steenrod algebra (see also [\textit{D. Arnon}, J. Pure Appl. Algebra 96, No.3, 215-223 (1994; Zbl 0840.55012)]) and proved maximality properties with respect to suitable lexicographic orderings. The paper under review gives similar results for the reduced Steenrod algebra (that is, the subalgebra of Steenrod algebra generated by Steenrod reduced powers, without Bockstein) in odd characteristic -- the author asserts that \textit{I. Karaca}'s article [Czech. Math. J. 55, No. 3, 699-707 (2005; Zbl 1081.55016)] supposed to make this contains a mistake (in its Proposition 2.3).
Mathematics Subject Classification ID: 55S10
zbMATH DE Number: 6490688
zbMATH Keywords: Steenrod algebra
zbMATH Keywords: monomial basis
reviewed by: Aurelien Djament
MaRDI profile type: Publication
full work available at URL: s11784-014-0166-3
OpenAlex ID: W2470454639
cites work: Monomial bases in the Steenrod algebra
cites work: Monomial Bases in the Mod-p Steenrod Algebra
cites work: Cohomology Operations (AM-50)
cites work: Generators and relations for the Steenrod algebra
DOI: 10.1007/S11784-014-0166-3
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description: scientific article; zbMATH DE number 6490688