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Lower central subgroups of a free group and its subgroup

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Title
Lower central subgroups of a free group and its subgroup
Author(s)
Minkyoung Song
Publication Date
2018-10
Journal
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
URI
https://pr.ibs.re.kr/handle/8788114/5426
ISSN
0218-2165
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
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