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Small index subgroups of the mapping class group

  • Luis Paris
Published/Copyright: February 8, 2010
Journal of Group Theory
From the journal Volume 13 Issue 4

Abstract

We prove that the mapping class group of a closed oriented surface of genus ρ ⩾ 3 has no proper subgroup of index ⩽ 4ρ + 4.

Received: 2009-09-24
Revised: 2009-10-28
Published Online: 2010-02-08
Published in Print: 2010-July

© de Gruyter 2010

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