Symplectic modules |
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| Authors: | J. P. Tignol S. A. Amitsur |
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| Affiliation: | (1) Department of Mathematics, Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium;(2) Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel |
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| Abstract: | A symplectic module is a finite group with a regular antisymmetric form. The paper determines sufficient conditions for the invariants of the maximal isotropic subgroups (Lagrangians), and asymptotic values for a lower bound of a group which contains Lagrangians of all symplectic modules of a fixed orderp n. These results have application to the splitting fields of universal division algebras. |
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