JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.27, no.12, pp.1850060
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Abstract
For a given free group F of arbitrary rank (possibly infinite), and its subgroup G, we
address the question whether a lower central subgroup of G can contain a lower central
subgroup of F. We show that the answer is no if G does not normally generate F. The
question comes from a study of Hirzebruch-type invariants from iterated p-covers for
three-dimensional homology cylinders.(c) World Scientific Publishing Company