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Grothendieck's problem on profinite completions and representations of groups

✍ Scribed by V. P. Platonov; O. I. Tavgen'

Publisher
Springer
Year
1990
Tongue
English
Weight
746 KB
Volume
4
Category
Article
ISSN
0920-3036

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πŸ“œ SIMILAR VOLUMES

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Let G G be a profinite group. The purpose of this note is to construct subfields F of the field of complex numbers over which a given finite dimensional complex continuous linear representation D of G G is realizable in the following sense: There is a one-dimensional representation of G G such that

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This paper studies finite linear groups of relatively small degree over I~, the real numbers, and Q, the rationals. Throughout the paper, G denotes a finite group, p a fixed rational prime which divides IG[, P a Sylow p-subgroup of G, and 1 ~ the trivial character for G over a field of characteristi