Email this article Permutation modules of profinite groups
- Authors: Ponomarev K.N.1
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Affiliations:
- Novosibirsk State Technical University
- Issue: Vol 58, No 4 (2017)
- Pages: 687-692
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171359
- DOI: https://doi.org/10.1134/S0037446617040152
- ID: 171359
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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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About the authors
K. N. Ponomarev
Novosibirsk State Technical University
Author for correspondence.
Email: ponomaryov@ngs.ru
Russian Federation, Novosibirsk
