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The implicit function theorem and the global methods of cohomology

✍ Scribed by J.C Alexander; James A Yorke

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
476 KB
Volume
21
Category
Article
ISSN
0022-1236

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Set Covering and Serre's Theorem on the
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✍ 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)