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Computation of First Cohomology Groups of Finite Covers

✍ Scribed by David M Evans

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
294 KB
Volume
193
Category
Article
ISSN
0021-8693

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✦ Synopsis

We give several applications of standard methods of group cohomology to some problems arising in model theory concerning finite covers. We prove a conjecture of the author that for G-finite, / -categorical structures the kernels of minimal 0 superlinked finite covers have bounded rank. We show that the cohomology groups Ž associated to finite covers of certain structures amongst them, the primitive, . countable, totally categorical structures have to be finite. From this we deduce that the finite covers of these structures are determined up to finitely many possibilities by their kernels.

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