# Publications of George Avrunin

## Cohomology of Groups

George S. Avrunin and Jon F. Carlson.
Nilpotency degree of cohomology rings in characteristic two.
*Proc. Amer. Math. Soc.*, 118(2):239–243, 1993.
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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.
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George S. Avrunin and Leonard L. Scott.
Quillen stratification for modules.
*Invent. Math.*, 66:277–286, 1982.
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George S. Avrunin.
Generic cohomology for twisted groups.
*Trans. Amer. Math. Soc.*, 268:247–253, 1981.
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.pdf ]

Let *G* be a simple algebraic group defined and split
over *k*_{0} = *F*_{p}, and let σ be a surjective
endomorphism of *G* with finite fixed-point set
*G*_{σ}. We give conditions under which
cohomology groups of *G* are isomorphic to
cohomology groups of *G*_{σ}.

George S. Avrunin.
Annihilators of cohomology modules.
*J. Algebra*, 69:150–154, 1981.
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George S. Avrunin.
2-cohomology of some unitary groups.
*Ill. J. Math.*, 24:317–332, 1980.
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George S. Avrunin.
The image of the restriction map on 2-cohomology.
*Arch. Math. (Basel)*, 34:502–508, 1980.
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George S. Avrunin.
A vanishing theorem for second degree cohomology.
*J. Algebra*, 53:382–388, 1978.
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