JOURNAL BROWSE
Search
Advanced SearchSearch Tips
CORESTRICTION MAP ON BRAUER SUBGROUPS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
CORESTRICTION MAP ON BRAUER SUBGROUPS
CHOI, EUN-MI;
  PDF(new window)
 Abstract
For an extension field K of k, a restriction homomorphism on Brauer k-group B(k) maps Brauer k-algebras to Brauer K- algebras by tensor product. A purpose of this work is to study the restriction map that sends radical (Schur) k-algebras to radical (Schur) K-algebras. And we ask an analogous question with respect to corestriction map on Brauer group B(K) that whether the corestriction map sends radical K-algebras to radical k-algebras.
 Keywords
Brauer algebra;restriction and corestriction map on Brauer group;
 Language
English
 Cited by
 References
1.
E. Aljadeff and J. Sonn, Projective Schur division algebras are abelian crossed products, J. Algebra 163 (1994), 795-805 crossref(new window)

2.
E. Artin and J. Tate, Class Field theory, Addison-Wesley Publishing Company Inc. California, 1974

3.
A. Babakhanian, Cohomological methods in group theory, Marcel Dekker Inc. New York, 1972

4.
B. Fein and M. Schacker, Relative Brauer groups I, J. R. Ang. Math. 321 (1981), 179-194

5.
T. Hungerford, Algebra, Holt, Rinehart and Winston, Inc., 1974

6.
G. Karpilovsky, Projective representations of Finite groups, Marcel Dekker Inc. New York, Basel, 1985

7.
I. Reiner, Maximal orders, L.M.S. Monograph 5, Academic Press, London, New York, 1975

8.
J. P. Serre, Local Fields, G.T.M. Springer, New York, 67 (1979)

9.
E. Weiss, Cohomology of groups, Academic press, New York, 1969

10.
T. Yamada, The Schur subgroup of the Brauer group, L.N.M. Springer, Berlin, 397 (1974)