On a Theorem of Fong
β Scribed by Yun Fan; Lluis Puig; Yuanyang Zhou
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 80 KB
- Volume
- 239
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
The theorem of Fong for a p-solvable group and the theorem of Green for a p-group, both on induced modules, are extended in a unified general setting, but in an elementary way.
π SIMILAR VOLUMES
In this paper we study some purely mathematical considerations that arise in a paper of Cooper on the foundations of thermodynamics that was published in this journal. Connections with mathematical utility theory are studied and some errors in Cooper's paper are rectified.
1. In [ 8 ] , p. 201, P. LELONQ has shown the following theorem: "Let X be a domain in C", n 2 3, and k a fixed integer, 2 5 k 5 n -1. Then X is STEIN ii and only if lor extra assumptiong on X are needed, see e.g. GRAUERT-REMMERT, [6], p. 158, th. 1). Its equivalence with the classical LEVI problem
Let be an irreducible character of G s GL β«ήβ¬ invariant under the automorphism of G induced by the field automorphism β«ήβ¬ d Βͺ β«ήβ¬ d, x Β¬ x q , and let e be a divisor of d. By a theorem of Shintani, there exists an extension of Λe Β² e : to G i whose Shintani descent to G is, up to a sign , an irred