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The iterated total squaring operation
Author:
Luciano Lomonaco
Journal:
Proc. Amer. Math. Soc. 115 (1992), 1149-1155
MSC:
Primary 55S10; Secondary 55R40, 55S12
MathSciNet review:
1112495
Full-text PDF Free Access
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Additional Information
Abstract: In this paper we prove a formula that expresses the iterated total squaring operation in terms of modular invariant theory and provide an alternative proof of a classical result of Múi's.
- [1]
J.
F. Adams, J.
H. Gunawardena, and H.
Miller, The Segal conjecture for elementary abelian
𝑝-groups, Topology 24 (1985), no. 4,
435–460. MR
816524 (87m:55026), http://dx.doi.org/10.1016/0040-9383(85)90014-X
- [2]
L. Lomonaco, Invariant theory and the total squaring operation, Ph. D. Thesis, University of Warwick, UK, 1986.
- [3]
Huỳnh
Mùi, Dickson invariants and Milnor basis of the Steenrod
algebra, Topology, theory and applications (Eger, 1983) Colloq.
Math. Soc. János Bolyai, vol. 41, North-Holland, Amsterdam,
1985, pp. 345–355. MR 863917
(88a:55019)
- [4]
Ib
Madsen and R.
James Milgram, The classifying spaces for surgery and cobordism of
manifolds, Annals of Mathematics Studies, vol. 92, Princeton
University Press, Princeton, N.J., 1979. MR 548575
(81b:57014)
- [5]
William
M. Singer, Invariant theory and the lambda
algebra, Trans. Amer. Math. Soc.
280 (1983), no. 2,
673–693. MR
716844 (85e:55029), http://dx.doi.org/10.1090/S0002-9947-1983-0716844-7
- [6]
N.
E. Steenrod, Cohomology operations, Lectures by N. E. STeenrod
written and revised by D. B. A. Epstein. Annals of Mathematics Studies, No.
50, Princeton University Press, Princeton, N.J., 1962. MR 0145525
(26 #3056)
- [7]
Clarence
Wilkerson, Classifying spaces, Steenrod operations and algebraic
closure, Topology 16 (1977), no. 3,
227–237. MR 0442932
(56 #1307)
- [1]
- J. F. Adams, J. H. Gunawardena, and H. Miller, The Segal conjecture for elementary abelian
 -groups, Topology 24 (1985), 435-460. MR 816524 (87m:55026)
- [2]
- L. Lomonaco, Invariant theory and the total squaring operation, Ph. D. Thesis, University of Warwick, UK, 1986.
- [3]
- H. Múi, Dickson invariants and the Milnor basis of the Steenrod algebra, Topology and applications, Colloq. Math. Soc. János Bolyai 41 (1983), 345-355. MR 863917 (88a:55019)
- [4]
- I. Madsen and R. J. Milgram, The classifying spaces for surgery and cobordism of manifolds, Ann. of Math. Stud., no. 92, Princeton Univ. Press, Princeton, NJ, 1979. MR 548575 (81b:57014)
- [5]
- W. Singer, Invariant theory and the Lambda algebra, Trans. Amer. Math. Soc. 280 (1981), 673-693. MR 716844 (85e:55029)
- [6]
- N. E. Steenrod and D. B. A. Epstein, Cohomology operations, Ann. of Math. Stud., no. 50 Princeton Univ. Press, Princeton, NJ, 1962. MR 0145525 (26:3056)
- [7]
- C. Wilkerson, Classifying spaces, Steenrod operations and algebraic closure, Topology 16 (1977), 227-237. MR 0442932 (56:1307)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1992-1112495-4
PII:
S 0002-9939(1992)1112495-4
Keywords:
Invariant theory,
cohomology operations
Article copyright:
© Copyright 1992 American Mathematical Society
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