Algebra III – Abstract Algebra, Fall 2019

     

Group theory
No. 01, Wednesday, 3th of October
• Grupa.				pdf
No. 02, Wednesday, 10h of October
• Nekatere družine grup in podgrupe.				pdf
No. 03, Wednesday, 17th of October
• Ciklične grupe.				link
No. 04, Wednesday, 24th of October
• Podgrupe generirane z množico elementov in nekatere lastnosti cikličnih podgrup.				pdf
No. 05, Wednesday, 7th of November
• Permutacijske grupe.				pdf
No. 06, Wednesday, 14th of November
• Homomorfizmi in izomorfizmi grup				pdf
No. 07, Wednesday, 21th of November
• Odseki in Lagrangeov izrek				pdf
• Različne naloge (doma)				pdf
1st Midterm, Wednesday, 28th of November, 13:00
No. 09, Wednesday, 5th of December
• Direktni produkt grup				pdf
No. 10, Wednesday, 12th of December
• Podgrupe edinke. Kvocientne grupe.				pdf
No. 11, Wednesday, 19th of December
• Homomorfizmi grup.				pdf
No. 12, Wednesday, 9th of January
• Delovanje grupe na množici.				pdf
No. 13, Wednesday, 15th of January
• Izreki Sylowa.				pdf
2nd Midterm, Friday 17th of January
Useful stuff (Appendix/Dodatek)
• Vse naloge z izpitnih rokov (23.11.2015. -- 12.01.2018.)				link
• Grupa automorfizmov.				pdf
• Osnovni izrek o končnih Abelovih grupah.				pdf
True or False Questions (eng.)
No. 00
• True or False Questions (from Gallian's Contemporary Abstract Algebra)				link
No. 01, Grupa
• True or False Questions (from Gallian's book)				link
No. 02, Nekatere družine grup in podgrupe.
• True or False Questions (from Gallian's book)				link
No. 03, Ciklične grupe.
• True or False Questions (from Gallian's book)				link
No. 06, Homomorfizmi in izomorfizmi grup
• True or False Questions (from Gallian's book)				link
No. 07, Odseki in Lagrangeov izrek
• True or False Questions (from Gallian's book)				link
No. 09, Direktni produkt grup
• True or False Questions (from Gallian's book)				link
No. 10, Podgrupe edinke. Kvocientne grupe.
• True or False Questions (from Gallian's book)				link
No. 11, Homomorfizmi grup.
• True or False Questions (from Gallian's book)				link
No. 13, Izreki Sylowa.
• True or False Questions (from Gallian's book)				link
Osnovni izrek o končnih Abelovih grupah
• True or False Questions (from Gallian's book)				link

For additional reading I recommend:

(i) Joseph A. Gallian, Contemporary Abstract Algebra, 8th edition, Cengage Learning, 2012.

(ii) Thomas W. Judson, Abstract Algebra Theory and Applications, 2016., available from web page: http://abstract.ups.edu/download.html

(iii) John B. Fraleigh, A first course in abstract algebra, Addison-Wesley, 2003.

(iv) Kulbhushan Parkash and P.N. Gupta: "Comprehensive Abstract Algebra". Part of book you can find if you click here.