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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Tignol, J.P., Amitsur, S.A. Symplectic modules. Israel J. Math. 54, 266–290 (1986). https://doi.org/10.1007/BF02764956
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DOI: https://doi.org/10.1007/BF02764956