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A p-modular system is a characteristic-zero fraction field over a complete discrete valuation ring with residue field of characteristic p
Definition
Fix a prime . A -modular system is a triple such that:
where is the maximal ideal of , the fraction field has characteristic , and the residue field has characteristic .
The completeness is with respect to the -adic topology from The -adic topology on a module and Separated and complete filtered modules, and the valuation-ring condition is the one recorded in Discrete valuation rings.
Depends on
Used by
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Sources
- Peter Webb, A Course in Finite Group Representation Theory (23 Feb 2016 draft) (standard reference, not scraped)