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A remark on Serre's example of p-adic Eisenstein series

✍ Scribed by Shoyu Nagaoka


Publisher
Springer-Verlag
Year
2000
Tongue
French
Weight
205 KB
Volume
235
Category
Article
ISSN
0025-5874

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Set Covering and Serre's Theorem on the
✍ ErgΓΌn YalΓ§in πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 150 KB

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)