813 Assignments for Spring 2016

  1. Show that the isomorphisms in (35) p.181 and (32) p.321 are natural in ModK.

  2. p.516 #4--5

  3. p.520 #4

  4. p.520 #5.(b)

    BONUS 1 Regard a group as a category as in 713. Prove that an automorphism is inner if and only if it is naturally equivalent to 1G .

  5. p.524 #5

  6. p.524 #8 and p.530 #8

  7. p.533 #6

  8. p.539 #5

  9. p.543 #6

  10. p.547 #4.(b)

  11. p.552 #4

  12. p.555 #3.(a)

    BONUS 2 p.555 #3.(b)

  13. p.558 #1

  14. p.560 #4

  15. p.442 #6

  16. p.445 #4

  17. p.445 #8

  18. p.446 #1

  19. p.450 #2

  20. p.453 #6

  21. p.456 #4

    BONUS 3 p.469 "5" Converse of Thm. 17.

    The remaining assignments are due Thur 12 May by 3:00 p.m.

  22. p.458 #2

  23. p.458 #5 - remaining part

  24. p.465 #8

  25. p.469 #2

All rewrites of ungraded assignments
and any bonus problems
are due Mon 9 May by 3:00 p.m.


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