Birational extensions of a noetherian UFD |
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Authors: | Aihua Li |
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Institution: | Department of Mathematics and Computer Science , Loyola University , New Orleans |
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Abstract: | We construct two nonisomorphic groups G and Q of order 96 which have isomorphic tables of marks, but such that the centre of G has order 8 and the centre of Q has order 4. We also note that G has an abelian subgroup of order 48, whereas Q has no abelian subgroup of that order. This also leads us to conclude that this isomorphism of tables of marks does not preserve normalizers. |
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Keywords: | 1991 Mathematics Subject Classification commutative algebra birational extension unique factorization domain principal prime ideals |
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