Modular invariant theory of parabolic subgroups of $GL_n(\mathbb{F}_q)$and the associated Steenrod modules

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Modular invariant theory of parabolic subgroups of $GL_n(\mathbb{F}_q)$and the associated Steenrod modules

T. J. Hewett

Source: Duke Math. J. Volume 82, Number 1 (1996), 91-102.

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See also: Thomas Hewett. Correction to “Modular invariant theory of parabolic subgroups of $GL_n (\mathbb{F}_q )$ and the associated Steenrod modules”. Duke Math. J. Vol. 97, No. 1 (1999), pp. 217–217.

Project Euclid: euclid.dmj/1077228508

Primary Subjects: 13A50

Secondary Subjects: 15A72, 20G05, 55S10

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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077244840
Mathematical Reviews number (MathSciNet): MR1387223
Zentralblatt MATH identifier: 0866.55021
Digital Object Identifier: doi:10.1215/S0012-7094-96-08204-6

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References

[1] A. Adem and R. J. Milgram, Cohomology of finite groups, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 309, Springer-Verlag, Berlin, 1994.

Mathematical Reviews (MathSciNet): MR96f:20082

Zentralblatt MATH: 0820.20060

[2] A. Adem and R. J. Milgram, $\scr A\sb 5$-invariants, the cohomology of $L\sb 3(4)$ and related extensions, Proc. London Math. Soc. (3) 66 (1993), no. 1, 187–224.

Mathematical Reviews (MathSciNet): MR93m:20070

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Digital Object Identifier: doi:10.1112/plms/s3-66.1.187

[3] C. Broto, Algebras of invariants and polynomial algebras over the Steenrod algebra, Butl. Soc. Catalana Ciènc. Fís. Quím. Mat. (2) 7 (1986), no. 1, 115–145.

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[4] B. M. Mann and R. J. Milgram, On the Chern classes of the regular representations of some finite groups, Proc. Edinburgh Math. Soc. (2) 25 (1982), no. 3, 259–268.

Mathematical Reviews (MathSciNet): MR84c:20060

Zentralblatt MATH: 0481.20033

Digital Object Identifier: doi:10.1017/S0013091500016746

[5] R. J. Milgram and S. B. Priddy, Invariant theory and $H\sp \ast(\rm GL\sb n(\bf F\sb p); \bf F\sb p)$, J. Pure Appl. Algebra 44 (1987), no. 1-3, 291–302.

Mathematical Reviews (MathSciNet): MR88j:20038

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Digital Object Identifier: doi:10.1016/0022-4049(87)90033-8

[6] D. Quillen, The $\rm mod$ $2$ cohomology rings of extra-special $2$-groups and the spinor groups, Math. Ann. 194 (1971), 197–212.

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[7] L. Smith and R. Stong, On the invariant theory of finite groups: orbit polynomials and splitting principles, J. Algebra 110 (1987), no. 1, 134–157.

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Digital Object Identifier: doi:10.1016/0021-8693(87)90040-8

[8] N. Steenrod and D. B. A. Epstein, 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.

Mathematical Reviews (MathSciNet): MR26:3056

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[9] C. Wilkerson, A primer on the Dickson invariants, Proceedings of the Northwestern Homotopy Theory Conference (Evanston, Ill., 1982), Contemp. Math., vol. 19, Amer. Math. Soc., Providence, RI, 1983, pp. 421–434.

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Zentralblatt MATH: 0525.55013

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