| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 11024739 | Journal of Algebra | 2018 | 5 Pages |
Abstract
The commutator subgroup of a free group is the subgroup consisting of elements contained in the kernel of every homomorphism from the free group to the integers. We give a similar characterization of the second derived subgroup of a free group. Specifically, we show that the second derived subgroup of a free group is equal to the intersection of the kernels of all homomorphisms into a solvable deficiency 1 group.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gregory R. Conner, Wolfgang Herfort, Curtis Kent, Petar PaveÅ¡iÄ,