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The squaring operation on ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20151023034045025-0743:S0305004109990405_char1.gif?pub-status=live)
-generators of the Dickson algebra†.
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20151023034045025-0743:S0305004109990405_char1.gif?pub-status=live)
Published online by Cambridge University Press: 03 December 2009
Abstract
We study the squaring operation Sq0 on the dual of the minimal -generators of the Dickson algebra. We show that this squaring operation is isomorphic on its image. We also give vanishing results for this operation in some cases. As a consequence, we prove that the Lannes–Zarati homomorphism vanishes (1) on every element in any finite Sq0-family in
except possibly the family initial element, and (2) on almost all known elements in the Ext group. This verifies a part of the algebraic version of the classical conjecture on spherical classes.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 148 , Issue 2 , March 2010 , pp. 267 - 288
- Copyright
- Copyright © Cambridge Philosophical Society 2009
References
REFERENCES
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