Introduction to Arithmetic Groups¶
Morris, D. W. (2003). Introduction to Arithmetic Groups.
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Domain-specific¶
- Arithmetic Group
- Familiar semisimple modular and Bianchi examples satisfy the needed hypotheses, but a split torus can have arithmetic integral points without being a finite-covolume lattice in its real group.
This sourceAuthor-authored lecture book; theorem history is credited separately to Borel and Harish-Chandra. Printed Example 1.22 p. 9 (modular fundamental region); Definition 5.17 p. 46 (finite-index commensurability); Theorem 6.10 and Warning 6.13 p. 70 (hypotheses and split torus); Proposition 6.45 p. 79 (cocompact example); Proposition 6.49 p. 80 (number-field product). Printed pagination is used rather than PDF viewer indices.
- Familiar semisimple modular and Bianchi examples satisfy the needed hypotheses, but a split torus can have arithmetic integral points without being a finite-covolume lattice in its real group.
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