Nilpotency degree of cohomology rings in characteristic two

Avrunin, George S.; Carlson, Jon F.

doi:10.1090/S0002-9939-1993-1129871-7

Nilpotency degree of cohomology rings in characteristic two
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by George S. Avrunin and Jon F. Carlson PDF

Proc. Amer. Math. Soc. 118 (1993), 339-343 Request permission

Abstract:

In this paper, we consider the cohomology ring of a finite $2$-group with coefficients in a field of characteristic two. We show that, for any positive integer $n$, there exists a $2$-group whose cohomology ring has elements of nilpotency degree $n + 1$ and all smaller degrees.

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