In mathematics, a Butler group is a group that is the image of a completely decomposable abelian group of finite rank. They were introduced by M. C. R. Butler (1965).

References

• Butler, M. C. R. (1965), "A class of torsion-free abelian groups of finite rank", Proc. London Math. Soc., Series 3, 15: 680–698, doi:10.1112/plms/s3-15.1.680, MR 0218446
• Fuchs, L. (2001) [1994], "Butler group", Encyclopedia of Mathematics, EMS Press