Filtrations of free groups as intersections

2013/12/06 by Efrat, Ido · 1 citation
#FOS: Mathematics #Group Theory (math.GR) #Primary 20E05 Secondary 20E18

paper · doi:10.48550/arxiv.1312.1811

Abstract

For several natural filtrations of a free group S we express the n-th term of the filtration as the intersection of all kernels of homomorphisms from S to certain groups of upper-triangular unipotent matrices. This generalizes a classical result of Grun for the lower central filtration. In particular, we do this for the n-th term in the lower p-central filtration of S.

Cited by

• Zassenhaus filtrations as intersections

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