Abstract
Given an arbitrary profinite group G and a commutative domain R, we define the notion of permutation RG-module which generalizes the known notion from the representation theory of profinite groups. We establish an independence theorem of such a module as an R-module over a ring of scalars.
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Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 4, pp. 885–893, July–August, 2017
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Ponomarev, K.N. Permutation modules of profinite groups. Sib Math J 58, 687–692 (2017). https://doi.org/10.1134/S0037446617040152
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DOI: https://doi.org/10.1134/S0037446617040152