Examinable material for Galois Theory - Neil Strickland
Examinable material for Galois Theory - Neil Strickland
Examinable material for Galois Theory - Neil Strickland
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Definitions<br />
You will be asked to give various definitions, which will be taken from the following list:<br />
• Definition 1.13 (subfield)<br />
• Definition 1.19 (homomorphism, isomorphism, automorphism)<br />
• Definition 2.18 (degree of an extension)<br />
• Definition 4.11 (irreducible polynomial)<br />
• Definition 4.15 (Eisenstein criterion)<br />
• Definition 5.5 (algebraic extension)<br />
• Definition 5.13 (split polynomial)<br />
• Proposition 6.3 (<strong>Galois</strong> group)<br />
• Definition 6.8 (normal extension)<br />
• Definition 8.1 (cyclotomic polynomial).
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