On the realization and classification of cyclic extensions of polynomial algebras over the Steenrod algebra
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- by Howard Hiller and Larry Smith PDF
- Proc. Amer. Math. Soc. 100 (1987), 731-738 Request permission
Abstract:
Suppose ${{\mathbf {R}}^*}$ is an unstable algebra over the Steenrod algebra of the form ${{\mathbf {P}}^*}(\sqrt [k]{d})$, where ${{\mathbf {P}}^*}$ is a polynomial algebra over the Steenrod algebra. If ${{\mathbf {R}}^*}$ is integrally closed then ${{\mathbf {R}}^*} = P{(V)^{{G_\mathcal {X}}}}$, where $C \leqslant GL(V)$ is generated by pseudoreflections and ${G_\mathcal {X}} = \ker \{ \mathcal {X}:G \to {\mathbf {F}}_p^*\}$ is a character of degree $k$.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 731-738
- MSC: Primary 55S10
- DOI: https://doi.org/10.1090/S0002-9939-1987-0894446-9
- MathSciNet review: 894446