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)


Simple homotopy types for $ (G,\,m)$-complexes

Author: Micheal N. Dyer
Journal: Proc. Amer. Math. Soc. 81 (1981), 111-115
MSC: Primary 57Q10; Secondary 55P15
MathSciNet review: 589149
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ G$ be a finite group. We use the fact that each element of the Whitehead group Wh$ (G)$ may be represented by at most a $ 2 \times 2$ (nonsingular) matrix to deduce results about when simple homotopy type and homotopy type agree. As examples, we give complete descriptions of the simple homotopy types for $ ({Z_m} \times {Z_n},2)$-complexes, provided $ S{K_1}(Z({Z_m} \times {Z_n})) = 0$.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57Q10, 55P15

Retrieve articles in all journals with MSC: 57Q10, 55P15

Additional Information

PII: S 0002-9939(1981)0589149-9
Article copyright: © Copyright 1981 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