S.V.Duzhin
Algebra
Lectures at the University of Pereslavl, Autumn 2000
Time and place: Thursdays 9:45--11:20, Main building
of UP.
Materials available so far (in Russian, unless otherwise specified):
- Course program
- September 7. Lecture 1. Transformation groups:
TeX file,
PostScript,
JPEG: page 1,
page 2.
- September 14. Lecture 2. General notion of a group:
TeX file,
PostScript,
JPEG: page 1.
page 2,
page 3.
- September 21. Lecture 3. The Lagrange theorem:
TeX file,
PostScript,
JPEG: page 1.
page 2.
- September 28. Lecture 4. Generators. Isomorphism:
TeX file.
- October 5. Lecture 5. Permutations. Cayley theorem.
- October 12. Test on group theory.
Variant 1,
Variant 2.
- October 19. Discussion of test problems.
- October 26. Lecture 6. Homomorphism and quotient groups.
(Notes about homomorphisms (in English):
Page 1,
Page 2,
Page 3).
- November 2. Lecture 7. Rings and fields (in English).
JPEG: Page 1,
Page 2,
PostScript: full text,
- November 9. Lecture 8. Subring, ideal, quotient ring.
JPEG,
PostScript
(in English).
- November 16. Lecture 9. Finite fields.
- November 23. Lecture 10. Finite-dimensional algebras
over the real numbes.
S.V.Duzhin