Open Access
2015 Group algebras and normal basis problem
Noriyuki Suwa
Tohoku Math. J. (2) 67(4): 495-505 (2015). DOI: 10.2748/tmj/1450798068

Abstract

We formulate the notion of cleft extensions in the Hopf-Galois theory in the framework of algebraic geometry. The unit group scheme of the algebra of a finite flat group scheme plays a key role.

Citation

Download Citation

Noriyuki Suwa. "Group algebras and normal basis problem." Tohoku Math. J. (2) 67 (4) 495 - 505, 2015. https://doi.org/10.2748/tmj/1450798068

Information

Published: 2015
First available in Project Euclid: 22 December 2015

zbMATH: 06545184
MathSciNet: MR3436537
Digital Object Identifier: 10.2748/tmj/1450798068

Subjects:
Primary: 13B05
Secondary: 12G05 , 14L15

Keywords: cleft extension , group scheme , Hopf-Galois extension

Rights: Copyright © 2015 Tohoku University

Vol.67 • No. 4 • 2015
Back to Top