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A generalization of Lichtenbaum's theorem on the cohomological dimension of algebraic varieties

✍ Scribed by Gennady Lyubeznik


Book ID
110559515
Publisher
Springer-Verlag
Year
1991
Tongue
French
Weight
203 KB
Volume
208
Category
Article
ISSN
0025-5874

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We define a group theoretical invariant, denoted by s G , as a solution of a certain set covering problem and show that it is closely related to chl(G), the cohomology length of a p-group G. By studying s G we improve the known upper bounds for the cohomology length of a p-group and determine chl(G)