On the isomorphisms between certain congruence groups
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- by Robert E. Solazzi PDF
- Proc. Amer. Math. Soc. 35 (1972), 405-410 Request permission
Abstract:
In this paper we study the possible isomorphisms between the congruence subgroups of the classical groups over integral domains by applying the involution-free techniques previously used by O’Meara and the author. We prove, in dimensions at least 6 and characteristic not 2, that a linear congruence group is never isomorphic to a symplectic congruence group nor to an isotropic unitary congruence group whose associated hermitian space has Witt index at least 3.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 405-410
- MSC: Primary 20H15
- DOI: https://doi.org/10.1090/S0002-9939-1972-0308293-9
- MathSciNet review: 0308293