On the Unit Groups of Commutative Modular Group Algebras of KT-Groups |
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Authors: | Todor Zh. Mollov Nako A. Nachev |
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Affiliation: | 1. Department of Algebra , University of Plovdiv , Plovdiv , Bulgaria mollov@uni-plovdiv.bg;3. Department of Algebra , University of Plovdiv , Plovdiv , Bulgaria |
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Abstract: | ABSTRACT In this article, we prove that the inner projection of a projective curve with higher linear syzygies has also higher linear syzygies. Specifically, if a very ample line bundle ? on a smooth projective curve X satisfies property N p for p ≥ 1 and H 1 (? ? 2) = 0 , then ?( ? q ) satisfies property N p ? 1 for any point q ∈ X . We also give simple proofs of well-known theorems about syzygies and raise some questions related to the line bundles of degree 2 g which do not satisfy property N 1 . |
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Keywords: | Commutative indecomposable rings of prime characteristic Commutative modular group algebras Group of normalized units Invariants for KT-groups KT-groups |
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