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)

 

A note on $\protect{\sigma}$-summable groups


Author: Paul Hill
Journal: Proc. Amer. Math. Soc. 126 (1998), 3133-3135
MSC (1991): Primary 20K10, 20K07
MathSciNet review: 1476137
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We answer questions raised by P. Danchev in a recent paper in these Proceedings. It is shown that a $\sigma$-summable abelian $p$-group is not determined by its socle, that is, two such groups can have isometric socles without being isomorphic. It is also demonstrated that $\sigma$-summability plays essentially no role in regard to the question of whether or not $V(G)/G$ is totally projective, where $V(G)$ denotes the group of normalized units of the group algebra $F(G)$ with $F$ being a perfect field of characteristic $p$.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 20K10, 20K07

Retrieve articles in all journals with MSC (1991): 20K10, 20K07


Additional Information

Paul Hill
Affiliation: Department of Mathematics, Auburn University, Alabama 36849
Email: hillpad@mail.auburn.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04675-9
PII: S 0002-9939(98)04675-9
Received by editor(s): February 18, 1997
Communicated by: Ken Goodearl
Article copyright: © Copyright 1998 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