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)


Two theorems on the mapping class group of a surface

Author: Jerome Powell
Journal: Proc. Amer. Math. Soc. 68 (1978), 347-350
MSC: Primary 57A05; Secondary 30A46
MathSciNet review: 0494115
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The mapping class group of a closed surface of genus $ \geqslant 3$ is perfect. An infinite set of generators is given for the subgroup of maps that induce the identity on homology.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57A05, 30A46

Retrieve articles in all journals with MSC: 57A05, 30A46

Additional Information

PII: S 0002-9939(1978)0494115-8
Keywords: Mapping class group, identity on homology, Dehn twists
Article copyright: © Copyright 1978 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia