Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. DMJ emphasizes the most active and influential areas of current mathematics. Advance publication of articles online is available.

Learn about DMJ's founding and visit DMJ By the Numbers for key facts about this flagship journal.

  • ISSN: 0012-7094 (print), 1547-7398 (electronic)
  • Publisher: Duke University Press
  • Discipline(s): Mathematics
  • Full text available in Euclid: 1935--
  • Access: By subscription only
  • Euclid URL: https://projecteuclid.org/dmj

Featured bibliometrics

MR Citation Database MCQ (2016): 2.29
JCR (2016) Impact Factor: 2.171
JCR (2016) Five-year Impact Factor: 2.417
JCR (2016) Ranking: 10/310 (Mathematics)
Article Influence (2016): 3.852
Eigenfactor: Duke Mathematical Journal
SJR/SCImago Journal Rank (2016): 4.467

Indexed/Abstracted in: Current Contents: Physical, Chemical & Earth Sciences, IBZ Online, Magazines for Libraries, MathSciNet, Science Citation Index, Science Citation Index Expanded, Scopus, and zbMATH

Featured article

On finiteness properties of the Johnson filtrations

Mikhail Ershov and Sue He Volume 167, Number 9 (2018)
Abstract

Let Γ be either the automorphism group of the free group of rank n4 or the mapping class group of an orientable surface of genus n12 with at most 1 boundary component, and let G be either the subgroup of IA-automorphisms or the Torelli subgroup of Γ. For NN denote by γNG the Nth term of the lower central series of G. We prove that

(i) any subgroup of G containing γ2G=[G,G] (in particular, the Johnson kernel in the mapping class group case) is finitely generated;

(ii) if N=2 or n8N4 and K is any subgroup of G containing γNG (for instance, K can be the Nth term of the Johnson filtration of G), then G/[K,K] is nilpotent and hence the Abelianization of K is finitely generated;

(iii) if H is any finite-index subgroup of Γ containing γNG, with N as in (ii), then H has finite Abelianization.