Lectures:11:30A  12:20P MWF 118 MLH 

Office:325G Maclean Hall 
Email:goodman at math dot uiowa dot edu 
Phone:Office: 3193350791 
Paper Mail:Fred Goodman Department of Mathematics MLH The University of Iowa Iowa City, IA 522421419 USA 
Office Hours:tba 

Click this link for the syllabus.
Alperin & Bell, Groups and Representations, Springer Verlag (Graduate Texts in Mathematics No. 162) . This text is required.
Donald Passman, A Course in Ring Theory (AMS Chelsea Publishing). Recommended. I haven't yet figured out how required it will be.
Nathan Jacobson, Basic Algebra II, W.H. Freeman, 1989 (out of print; I will make some chapters accessible to you).
Additional Recommended texts:
David Dummit and Richard Foote, Abstract Algebra, 3rd edition, John Wiley 2003.
Thomas W. Hungerford, Algebra, Springer Verlag (Graduate Texts in Mathematics No. 73).
Martin Isaacs, Finite Group Theory, AMS (Graduate Studies in Mathematics) 2008.
Serge Lang, Algebra, Springer Verlag (Graduate Texts in Mathematics No. 211).
Details of assignments will appear here as the assignments are made. Please see the remarks on the syllabus about the standard of explanation expected on the homework.
Assignment no. 1: Exercises 18 on pages 3536 of Alperin & Bell.
Assignment no. 2: Exercises 15 and 78 on pages 7071 of Alperin & Bell. Also:
(A) Classify all nonabelian groups of size equal to 30. It is helpful to look at Goodman, Algebra Abstract and Concrete, Example 5.4.14 and exercises 5.4.6 an 5.4.7.
(B) Show that the groups of signed nbyn matrices is isomorphic to the wreath product of Z_2 with S_n, that is the semidirect product of
Z_2 \times Z_2 \times ... \times Z_2
(nfold direct product) with the permutation group S_n.
(C) Find out if every automorphism of a quotient A/K of a finite cyclic group A lifts to an automorphism of A. Use the to find out if two homomorphisms of a finite cyclic group G into the automorphism group of another group N yield isomorphic semidirect products, assuming that the homomorphisms have the same range in Aut(N).
Assignment no. 3: Exercises 17, pages 4748 of Alperin & Bell. (If you manage to do #5, you are required to transfer to the U. of Chicago and study with Alperin.)
Assignment no. 4: Exercises 89 pages 4748; Exercises 2, 3 6 page 61; Exercises 3, 4 page 104. (All page numbers are from Alperin & Bell.)
Assignment no. 5: click here.
Assignment no. 6: click here.