Keywords
- Inductive Structure
- Algebraic Number Field
- Integral Group Ring
- Twisted Action
- Galois Module
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
S. U. Chase, A generalization of the norm residue symbol, J. Pure Appl. Algebra (to appear).
L. N. Childs, Stickelberger relations and tame extensions of prime degree, Illinois J. Math. 25 (1981), 258–266.
L. N. Childs, Tame Kummer extensions and Stickelberger conditions, Illinois J. Math. 28 (1984), 547–554.
A. Fröhlich, "Galois module structure of algebraic integers," Ergeb. Math. Grenzgeb. (3)v.1, Springer, Berlin/New York, 1983.
C. A. Glass, "Realizable classes in the class groups of integral group rings," Thesis, London University, 1980.
L. R. McCulloh, A Stickelberger condition on Galois module structure for Kummer extensions of prime degree, in "Algebraic number fields, Proceedings, Durham Symposium," Academic Press, London/New York, 1977.
L. R. McCulloh, A class number formula for elementary-abelian-group rings, J. Algebra 68 (1981), 443–452.
L. R. McCulloh, Stickelberger relations in class groups and Galois module structure, in "Journées Arithmétiques 1980," Cambridge University Press, 1982, pp. 194–201.
L. R. McCulloh, Galois module structure of elementary abelian extensions, J. Algebra 82 (1983), 102–134.
M. J. Taylor, On Fröhlich’s conjecture for rings of integers of tame extensions, Invent. Math. 63 (1981), 41–79.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
McCulloh, L.R. (1985). Stickelberger ideals, monoid rings, and galois module structure. In: Reiner, I., Roggenkamp, K.W. (eds) Orders and their Applications. Lecture Notes in Mathematics, vol 1142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074801
Download citation
DOI: https://doi.org/10.1007/BFb0074801
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15674-1
Online ISBN: 978-3-540-39601-7
eBook Packages: Springer Book Archive
