Every homomorphism from an irreducible, noncocompact lattice in a higher-rank semisimple Lie group to the outer automorphism group of a free group must have a finite image.
Remarks on Lipschitz properties of matrix groups actions
β Scribed by Leiba Rodman
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 254 KB
- Volume
- 434
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
We discuss pattern problems for matrix groups and solve one of such problems for a class of nilpotent groups.
We show the existence of an infinite monothetic Polish topological group G with the fixed point on compacta property. Such a group provides a positive answer to a question of Mitchell who asked whether such groups exist, and a negative answer to a problem of R. Ellis on the isomorphism of L(G), the
fect or the grading of R is simpler e.g., R is a crossed product or a skew . group ring . We apply our solution of Problem A to the study of a more concrete problem: Problem B. Characterize semisimple strongly G-graded rings.