George S. Avrunin and Jon F. Carlson. Nilpotency degree of cohomology rings in characteristic two. Proc. Amer. Math. Soc., 118(2):239–243, 1993. [ http | .pdf ]
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.
George S. Avrunin and Leonard L. Scott. A Quillen stratification theorem for modules. Bull. Amer. Math. Soc. (N.S.), 6:75–78, 1982. [ DOI | .pdf ]
George S. Avrunin and Leonard L. Scott. Quillen stratification for modules. Invent. Math., 66:277–286, 1982. [ DOI | .pdf ]
George S. Avrunin. Generic cohomology for twisted groups. Trans. Amer. Math. Soc., 268:247–253, 1981. [ http | .pdf ]
Let G be a simple algebraic group defined and split over k0 = Fp, and let σ be a surjective endomorphism of G with finite fixed-point set Gσ. We give conditions under which cohomology groups of G are isomorphic to cohomology groups of Gσ.
George S. Avrunin. Annihilators of cohomology modules. J. Algebra, 69:150–154, 1981. [ DOI ]
George S. Avrunin. 2-cohomology of some unitary groups. Ill. J. Math., 24:317–332, 1980. [ .pdf ]
George S. Avrunin. The image of the restriction map on 2-cohomology. Arch. Math. (Basel), 34:502–508, 1980. [ DOI ]
George S. Avrunin. A vanishing theorem for second degree cohomology. J. Algebra, 53:382–388, 1978. [ DOI ]
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