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# The stable and unstable types of classifying spaces

Published:1997-09-01
Printed: Sep 1997
• Hyang-Sook Lee
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## Abstract

The main purpose of this paper is to study groups $G_1$, $G_2$ such that $H^\ast(BG_1,{\bf Z}/p)$ is isomorphic to $H^\ast(BG_2,{\bf Z}/p)$ in ${\cal U}$, the category of unstable modules over the Steenrod algebra ${\cal A}$, but not isomorphic as graded algebras over ${\bf Z}/p$.
 MSC Classifications: 55R35 - Classifying spaces of groups and $H$-spaces 20J06 - Cohomology of groups