We study the first Orlicz cohomology of general (not necessarily countable) discrete groups, based on the methods developed by Eastridge and other authors for ℓp-cohomology and our previous study of Orlicz cohomology. Some conditions are given for the triviality of the first ℓΦ-cohomology and reduced ℓΦ-cohomology of a discrete group and for the coincidence of these spaces.
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Kopylov, Y.A. The First Orlicz Cohomology of General Discrete Groups. J Math Sci 281, 692–705 (2024). https://doi.org/10.1007/s10958-024-07144-7
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DOI: https://doi.org/10.1007/s10958-024-07144-7