Volume 4, issue 1 (2004)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Adem relations in the Dyer–Lashof algebra and modular invariants

Nondas E Kechagias

Algebraic & Geometric Topology 4 (2004) 219–241

arXiv: math.AT/0404411

Abstract

This work deals with Adem relations in the Dyer–Lashof algebra from a modular invariant point of view. The main result is to provide an algorithm which has two effects: Firstly, to calculate the hom-dual of an element in the Dyer–Lashof algebra; and secondly, to find the image of a non-admissible element after applying Adem relations. The advantage of our method is that one has to deal with polynomials instead of homology operations. A moderate explanation of the complexity of Adem relations is given.

Additional material
Keywords
Adem relations, Dyer–Lashof algebra, Dickson algebra, Borel invariants
Mathematical Subject Classification 2000
Primary: 55S10, 13F20
Secondary: 55P10
References
Forward citations
Publication
Received: 23 October 2003
Revised: 20 January 2004
Accepted: 23 January 2004
Published: 13 April 2004
Corrected: 9 January 2009 (link on page 221 updated)
Authors
Nondas E Kechagias
Department of Mathematics
University of Ioannina
45110 Greece
http://www.math.uoi.gr/~nondas_k