Equivariant images of projective space under the action of SL (n, ℤ)
1981 ◽
Vol 1
(4)
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pp. 519-522
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Keyword(s):
Group 3
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The point of this note is to answer in the affirmative a question of G. A. Margulis. In the course of his proof of the finiteness of either the cardinality or the index of a normal subgroup of an irreducible lattice in a higher rank semi-simple Lie group [3], [4], Margulis proves that if Γ = SL (n, ℤ),n≥3, (X, μ) is a measurable Γ-space, μ quasi-invariant, and φ: ℙn−1→Xis a measure class preserving Γ-map, then either φ is a measure space isomorphism or μ is supported on a point. Margulis then asks whether the topological analogue of this result is true. This is answered in the following.
1985 ◽
Vol 38
(1)
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pp. 55-64
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Keyword(s):
Keyword(s):
2000 ◽
Vol 20
(1)
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pp. 259-288
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Keyword(s):
Keyword(s):
Keyword(s):
1998 ◽
Vol 18
(2)
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pp. 503-507
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Keyword(s):
1984 ◽
Vol 96
(3-4)
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pp. 201-205
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Keyword(s):
1974 ◽
Vol 26
(02)
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pp. 291-293
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Keyword(s):
1972 ◽
Vol 32
(2)
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pp. 632-632
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