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- W2059363886 abstract "Let R be a local (commutative) ring and let p be a prime not invertible in R . Let G be a finite group of order divisible by p . It is well known that the group ring RG admits nonprojective lattices (e.g., R itself with the trivial action). For any element α ∈ H 2 ( G , R *) one can form the twisted group ring R α G . The “twisting problem” asks whether there exists a class α s.t. the corresponding twisted group ring admits only projective lattices. For fields of characteristic p , the answer is in E. Aljadeff and D. J. S. Robinson [ J. Pure Appl. Algebra 94 (1994), 1–15]. Here we answer this question for rings of the form Z p s , s ≥ 2. The main tools are the classification of modular representation of the Klein 4 group over Z 2 and a Chouinard-like theorem [E. Aljadeff and Y. Ginosar, J. Algebra 179 (1996), 599–606] for twisted group rings." @default.
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- W2059363886 date "1999-07-01" @default.
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- W2059363886 title "Projective Representations and Relative Semisimplicity" @default.
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- W2059363886 doi "https://doi.org/10.1006/jabr.1998.7783" @default.
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