Vol. 69, No. 2, 1977

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
The Schur subgroup of the Brauer group

James William Pendergrass

Vol. 69 (1977), No. 2, 477–499
Abstract

Let K be a subfield of a cyclotomic extension L of the rational field Q. The Schur subgroup, S(K), of the Brauer group of K, B(K), consists of those algebra classes which contain an algebra which is isomorphic to a simple component of a group algebra QG for some finite group G.

In this paper we describe a set of generators for S(K). We then use this theorem to determine the 2-primary part of S(K) when L∕K is cyclic and the fourth roots of unity are not in K.

Mathematical Subject Classification
Primary: 13A20
Milestones
Received: 18 November 1974
Published: 1 April 1977
Authors
James William Pendergrass