# (a) If S is a transcendence base of the field C of complex numbers over the field Q of rationals,...

## Question:

(a) If S is a transcendence base of the field C of complex numbers over the field Q of rationals, then S is infinite.

(b) There are infinitely many distinct automorphisms of the field C. (c) tr.d.C/Q = |C|

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**Related Book For**

## Algebra Graduate Texts In Mathematics 73

**ISBN:** 9780387905181

8th Edition

**Authors:** Thomas W. Hungerford

**Question Details**

Chapter #

**6**- The Structure of FieldsSection: Exercises 6.1

Problem: 6

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