Thomas Koberda
Abstract
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Given a group with at least two more generators than relations, we give an\neffective estimate on the minimal index of a subgroup with a nonabelian free\nquotient. We show that the index is bounded by a polynomial in the length of\nthe relator word. We also provide a lower bound on the index.\n
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Given a group with at least two more generators than relations, we give an\neffective estimate on the minimal index of a subgroup with a nonabelian free\nquotient. We show that the index is bounded by a polynomial in the length of\nthe relator word. We also provide a lower bound on the index.\n
Key concepts: Quotient, Mathematics, Index (typography), Free group, Pride, Bounded function, Combinatorics, Normal subgroup