Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Homeomorphisms of a surface which act trivially on homology

Author: Dennis L. Johnson
Journal: Proc. Amer. Math. Soc. 75 (1979), 119-125
MSC: Primary 57N05
MathSciNet review: 529227
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ \mathfrak{M}$ be the mapping class group of a surface of genus $ g \geqslant 3$, and $ \mathcal{I}$ the subgroup of those classes acting trivially on homology. An infinite set of generators for $ \mathcal{I}$, involving three conjugacy classes, was obtained by Powell. In this paper we improve Powell's result to show that $ \mathcal{I}$ is generated by a single conjugacy class and that $ [\mathfrak{M},\mathcal{I}] = \mathcal{I}$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57N05

Retrieve articles in all journals with MSC: 57N05

Additional Information

PII: S 0002-9939(1979)0529227-4
Article copyright: © Copyright 1979 American Mathematical Society