Group Theory
By S. Shankar. Computers, Rigidity, and Moduli, 2019
1,089 citations recorded by the source corpus.
We study finite extension groups of lattices in Lie groups which have finitely many connected components. We show that every non-cocompact Fuchsian group (these are the non-cocompact lattices in PSL ( 2 , R ) ) has an extension group of finite index which is not isomorphic to a lattice in a Lie group with finitely many connected components. On the other hand we prove that these are, in an appropriate sense, the only lattices in Lie groups which have extension groups of this kind. We also show that an extension group of finite index of a lattice in a Lie group with finitely many connected components has only finitely many conjugacy classes of finite subgroups. To cite this article: F. Grunewald, V. Platonov, C. R. Acad. Sci. Paris, Ser. I 338 (2004).
View Paper: https://www.semanticscholar.org/paper/519552c1338e5b6d3178d1e8144979df572e66a3
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Citations in the corpus
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- On Monomial Characters and Central Idempotents of Rational Group Algebras (2004, background): “By the induction hypothesis oN ðeÞ ¼ eðG=N ;K=N ;H=NÞ where ðH=N ;K=NÞ satisfies conditions (A)–(C) as a pair of subgroups of G=N .”
- On asymptotic formulae in some sum–product questions (2018, methodology): “Finally, we need the classification of subgroups of SL 2(Fp), see [54].”
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