The Action of Galois Groups on Characters of Finite Groups

Source
مكتبة الملك عبدالله بن عبدالعزيز الجامعية
Linked Agent
Country of Publication
مكة المكرمة
Publisher
جامعة أم القرى
Language
eng
College
العلوم التطبيقية
Abstract

This dissertation deals with the action of Galois groups on characters offinite groups. We study the compatibility between Galois group action onthe conjugacy classes and on characters of the group. We study a theoremof seigel for algebraic numbers and the relationship with field extensions.Galois correspondence is an important tool to deal with integrality as well asp-rational characters. We recover the notion of Schur index which is a topiclinks Galois group, irreducible characters and field extensions

Description
48ورقة.
Category
Theses
Dewey Classification
24826
Format
ماجستير
Hijri Date
1442
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