A Remark on Finitely Generated Subgroups of Free Groups

S. V. Ivanov, P. E. Schupp

Research output: Chapter in Book/Report/Conference proceedingConference contribution


It is proven that if H is a finitely generated subgroup of a free group F and the index [F: H] is infinite, then there exists a nontrivial normal subgroup N of F with N∩H = {1}.
Original languageEnglish (US)
Title of host publicationAlgorithmic Problems in Groups and Semigroups
EditorsJean-Camille Birget, Stuart Margolis, John Meakin, Mark Sapir
PublisherBirkhauser Boston
Number of pages4
ISBN (Electronic)978-1-4612-1388-8
ISBN (Print)978-1-4612-7126-0
StatePublished - 2000

Publication series

NameTrends in Mathematics


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