S-arithmetic groups of SL₂ type

2005/08/11 by Ritumoni Sarma, Sarma, Ritumoni
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Finite Group Theory Research #math.GR #math.NT #msc:20F05

paper · pdf · doi:10.48550/arxiv.math/0508198

10 pages, no figure

arxiv created 2005/08/11 · arxiv updated 2009/12/01

Abstract

For a number field K, we show that any S-arithmetic subgroup of SL₂(K) contains a subgroup of finite index generated by three elements if card(S)> 1.

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