Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 

 

A problem of Stallings on the direct square of a free group


Author: Gilbert Baumslag
Journal: Proc. Amer. Math. Soc. 104 (1988), 1007-1009
MSC: Primary 20F32; Secondary 20E05
DOI: https://doi.org/10.1090/S0002-9939-1988-0931723-8
MathSciNet review: 931723
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ F$ be a free group of finite rank; let $ \Delta (F)$ denote the diagonal subgroup of $ F \times F$, and let $ A$ and $ B$ be finitely presented subgroups of $ F \times F$. It is shown that $ A \cap \Delta (F)$ is finitely presented, that, if neither $ A$ nor $ B$ is free, then $ A \cap B$ is finitely presented, and that there are examples where both $ A$ and $ B$ are free of finite rank such that $ A \cap B$ is not finitely generated.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20F32, 20E05

Retrieve articles in all journals with MSC: 20F32, 20E05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0931723-8
Article copyright: © Copyright 1988 American Mathematical Society