Steenrod closed parameter ideals in the mod-2 cohomology of A4 and SO(3)

IF 0.7 2区数学 Q2 MATHEMATICS Journal of Pure and Applied Algebra Pub Date : 2025-02-01 DOI:10.1016/j.jpaa.2025.107899

Henrik Rüping , Marc Stephan , Ergün Yalçın

引用次数: 0

Abstract

In this paper, we classify the parameter ideals in

H^{⁎} (B A_{4}; F_{2})

and in the Dickson algebra

H^{⁎} (B SO (3); F_{2})

that are closed under Steenrod operations. Consequently, we obtain restrictions on the dimensions

n, m

for which

A_{4}

(and

SO (3)

) can act freely on

S^{n} \times S^{m}

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.

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