An explicit formula for the cup-length of the rotation group
Let SO\(_n\) denote the rotation group, i.e. the group of orthogonal \(n\times n\)-matrices of determinant 1. The modulo 2 cohomology algebra is described by [\textit{A. Borel}, C. R. Acad. Sci., Paris 232, 1628--1630, 2392--2394 (1951; Zbl 0045.44301)]. The main result of the reviewed paper is a nice explicit formula for the modulo 2 cup-length for SO\(_n\).
rotation group (special orthogonal group)
scientific article; zbMATH DE number 6803433