Modular representation theory: Difference between revisions

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Defect groups: define notation
Reduction (mod p): Example of an appropriate ring, and fix italics
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valuation ring ''R'' with residue field ''K'' of positive
characteristic ''p'' and field of fractions ''F'' of characteristic
''0'', such as the [[p-adic integers]]. The structure of ''R''[''G''] is closely related both to
the structure of the group algebra ''K''[''G'']'' and to the structure of the semisimple group algebra ''F''[''G'']'', and there is much interplay
between the module theory of the three algebras.