The equivariant Brauer group of a group
Authors:
S. Caenepeel, F. Van Oystaeyen and Y. H. Zhang
Journal:
Proc. Amer. Math. Soc. 134 (2006), 959-972
MSC (2000):
Primary 16H05, 16W50
DOI:
https://doi.org/10.1090/S0002-9939-05-08041-X
Published electronically:
August 16, 2005
MathSciNet review:
2196026
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We consider the Brauer group of a group
(finite or infinite) over a commutative ring
with identity. A split exact sequence

is obtained. This generalizes the Fröhlich-Wall exact sequence from the case of a field to the case of a commutative ring, and generalizes the Picco-Platzeck exact sequence from the finite case of



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Additional Information
S. Caenepeel
Affiliation:
Faculty of Applied Sciences, Vrije Universiteit Brussel, VUB, B-1050 Brussels, Belgium
Email:
scaenepe@vub.ac.be
F. Van Oystaeyen
Affiliation:
Department of Mathematics and Computer Science, University of Antwerp, Middelheimlaan 1, B-2020 Antwerp, Belgium
Email:
fred.vanoystaeyen@ua.ac.be
Y. H. Zhang
Affiliation:
School of Mathematics and Computing Science, Victoria University of Wellington, Wellington, New Zealand
Email:
yinhuo.zhang@vuw.ac.nz
DOI:
https://doi.org/10.1090/S0002-9939-05-08041-X
Keywords:
Equivariant Brauer group,
Taylor Azumaya algebra
Received by editor(s):
December 16, 2003
Received by editor(s) in revised form:
August 16, 2004, and November 1, 2004
Published electronically:
August 16, 2005
Additional Notes:
The third named author was supported by the Marsden Fund
Communicated by:
Martin Lorenz
Article copyright:
© Copyright 2005
American Mathematical Society