On homomorphisms from algebraic groups to $\textrm {GL}_{n}(Z)$
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- by T. Kambayashi and G. Margrave
- Proc. Amer. Math. Soc. 74 (1979), 223-226
- DOI: https://doi.org/10.1090/S0002-9939-1979-0524289-2
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Abstract:
As a rule, there are no nontrivial abstract group homomorphisms from a connected algebraic group to any group devoid of divisible elements. This rule is formulated and proven, and the exceptions to the rule as well as applications of it are discussed.References
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- Maxwell Rosenlicht, Toroidal algebraic groups, Proc. Amer. Math. Soc. 12 (1961), 984β988. MR 133328, DOI 10.1090/S0002-9939-1961-0133328-9
- Hideyasu Sumihiro, Equivariant completion, J. Math. Kyoto Univ. 14 (1974), 1β28. MR 337963, DOI 10.1215/kjm/1250523277
Bibliographic Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 223-226
- MSC: Primary 20G15
- DOI: https://doi.org/10.1090/S0002-9939-1979-0524289-2
- MathSciNet review: 524289