Peter Symonds
نویسندگان
چکیده
When a finite group G acts faithfully on a graded integral domain S which is an algebra over a field k, such as a polynomial ring, we consider S as a kG-module. We show that S is asymptotically mostly projective in each degree, and also that it is in fact mostly free in an appropriate sense. Similar results also hold for filtered algebras, such as power series rings.
منابع مشابه
On the construction of permutation complexes for profinite groups
In [5], Goerss, Henn, Mahowald and Rezk consider the special extended Morava stabilizer group G2 = S2 o Gal at the prime 3 and construct an exact sequence of compact modules 0→ Ind 1 2 G24 Ẑ3 → Ind G2 SD16 Ẑ3(χ)→ Ind G2 SD16 Ẑ3(χ)→ Ind G2 G24 Ẑ3 → Ẑ3 → 0, where G24 is a subgroup of order 24 etc, and Ẑ3(χ) is a copy of Ẑ3 on which SD16 acts via a character χ : SD16 → {±1}. They then use this to ...
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