Constructible Numbers and Galois Theory

نویسنده

  • SVANTE JANSON
چکیده

We correct some errors in Grillet [2], Section V.9.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A History of Selected Topics in Categorical Algebra I: From Galois Theory to Abstract Commutators and Internal Groupoids

This paper is a chronological survey, with no proofs, of a direction in categorical algebra, which is based on categorical Galois theory and involves generalized central extensions, commutators, and internal groupoids in Barr exact Mal’tsev and more general categories. Galois theory proposes a notion of central extension, and motivates the study of internal groupoids, which is then used as an a...

متن کامل

A Mathematical Theory of Origami Constructions and Numbers

About twelve years ago, I learned that paper folding or elementary origami could be used to demonstrate all the Euclidean constructions; the booklet, [9], gives postulates and detailed the methods for high school teachers. Since then, I have noticed a number of papers on origami and variations, [3], [2] and even websites [7]. What are a good set of axioms and what should be constructible all ca...

متن کامل

Algebraically Constructible Functions

An algebraic version of Kashiwara and Schapira's calculus of constructible functions is used to describe local topological properties of real algebraic sets, including Akbulut and King's numerical conditions for a stratiied set of dimension three to be algebraic. These properties, which include generalizations of the invariants modulo 4, 8, and 16 of Coste and Kurdyka, are deened using the link...

متن کامل

Algebraic Groups: Part Ii

4. Constructible sets 17 5. Connected components 18 6. Subgroups 20 7. Group actions and linearity versus affine 22 7.1. 24 8. Jordan Decomposition 27 8.1. Recall: linear algebra 27 8.2. Jordan decomposition in linear algebraic groups 30 9. Commutative algebraic groups 35 9.1. Basic decomposition 35 9.2. Diagonalizable groups and tori 35 9.2.1. Galois action 39 9.3. Action of tori on affine var...

متن کامل

Galois Theory, Motives and Transcendental Numbers

From its early beginnings up to nowadays, algebraic number theory has evolved in symbiosis with Galois theory: indeed, one could hold that it consists in the very study of the absolute Galois group of the field of rational numbers. Nothing like that can be said of transcendental number theory. Nevertheless, couldn’t one associate conjugates and a Galois group to transcendental numbers such as π...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009