On the intersection of subgroups of a free group

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Abstract

The Hanna Neumann Conjecture says that the intersection of subgroups of rank n+1 and m+1 of a free group has rank at most nm+1. This paper proves the conjecture for the case m=1. (See Theorem 1.) Our methods imply that the strengthened Hanna Neumann Conjecture is also true in this case (Theorem 2′).

Original languageEnglish
Pages (from-to)29-36
Number of pages8
JournalInventiones Mathematicae
Volume108
Issue number1
DOIs
Publication statusPublished - Dec 1992

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Free Group
Intersection
Subgroup
Theorem
Imply

ASJC Scopus subject areas

  • Mathematics(all)

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On the intersection of subgroups of a free group. / Tardos, G.

In: Inventiones Mathematicae, Vol. 108, No. 1, 12.1992, p. 29-36.

Research output: Contribution to journalArticle

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