Continuous cohomology of permutation groups on profinite modules

David M. Evans; Paul R. Hewitt

doi:10.1080/00927870500454125

Continuous cohomology of permutation groups on profinite modules

David M. Evans, Paul R. Hewitt

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Abstract

Model theorists have made use of low-dimensional continuous cohomology of infinite permutation groups on profinite modules, see Ahlbrandt and Ziegler (1991), Evans (1997b), Evans et al. (1997), and Hodges and Pillay (1994), for example. We expand the module category in order to widen the cohomological toolkit. For an important class of groups we use these tools to establish criteria for finiteness of cohomology.

Original language	English
Pages (from-to)	1251-1264
Number of pages	14
Journal	Communications in Algebra
Volume	34
Issue number	4
DOIs	https://doi.org/10.1080/00927870500454125
Publication status	Published - 2006

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Cite this

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abstract = "Model theorists have made use of low-dimensional continuous cohomology of infinite permutation groups on profinite modules, see Ahlbrandt and Ziegler (1991), Evans (1997b), Evans et al. (1997), and Hodges and Pillay (1994), for example. We expand the module category in order to widen the cohomological toolkit. For an important class of groups we use these tools to establish criteria for finiteness of cohomology.",

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