On the intersection of free factors of a free group

Burns, R. G.; Chau, T. C.; Solitar, D.

doi:10.1090/S0002-9939-1977-0447405-8

Proceedings of the American Mathematical Society

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ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On the intersection of free factors of a free group
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by R. G. Burns, T. C. Chau and D. Solitar PDF

Proc. Amer. Math. Soc. 64 (1977), 43-44 Request permission

Abstract:

An example is given of a descending sequence of free factors of a free group F whose intersection is not a free factor of F.

References

Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561
Wilhelm Magnus, Abraham Karrass, and Donald Solitar, Combinatorial group theory: Presentations of groups in terms of generators and relations, Interscience Publishers [John Wiley & Sons], New York-London-Sydney, 1966. MR 0207802