Abstract
In this paper we study the mod-2 cohomology rings of finite 2-groups. More precisely we want to estimate the nilpotence degree of an ideal in H ∗( G, Z 2) which consists of all cohomology classes whose restrictions to all proper subgroups of G are trivial. We estimated this number for 2-groups which are generated by two elements and for groups whose Frattini subgroup Φ( G) is central and is not elementary abelian.
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