First - here is a link to the problems themselves (generously entered by Jonathan Kish):
Old Prelims
In the summer of 04, for a prelim study group, I wrote what I thought were important facts and gave hints to some of the problems
I assigned. Those thoughts and hints are given in
PDF files in the links below. Also, a chart classifying the problems is
given.
Rough classification of problems
Group stuff
Ring stuff
Module stuff
Here is the list of problems we used:
Week 1
Jan 2008 #1
Aug 2006 #2
Jan 2006 #2
Jan 1999 #2
Jan 1991 #1a
Jan 1990 #1
Jan 1989 #1
Jan 1986 #1
Jan 1982 #1
Jan 1979 #1
Week 2
Dummit p184 #6 (key to semidirect classification)
Aug 2007 #1
Jan 2007 #2
Jan 2005 #2
Aug 2004 #1
Jan 2004 #2
Aug 2000 #2
Aug 1997 #1
Aug 1991 #5
Jan 1990 #2
Week 3
Jan 2008 #2
Aug 2007 #2
Aug 2005 #1
Aug 2003 #2
Jan 1997 #1
Aug 1996 #6
Jan 1995 #6
Jan 1992 #1
Aug 1980 #4
Dummit p. 148 #50
Week 4
Jan 2008 #3
Aug 2007 #3
Aug 2006 #4
Aug 2005 #3
Jan 2004 #4
Jan 2003 #3
Jan 1998 #3
Aug 1992 #4
Jan 1987 #4
Jan 1982 #3
Week 5
Aug 2007 #4
Jan 2006 #4
Jan 2004 #5
Aug 2000 #4
Aug 1997 #4
Aug 1995 #4
Aug 1993 #4
Jan 1992 #4
Aug 1990 #5
Aug 1988 #4
Week 6
D+F 12.3 #32 (#2 same section is useful)
Aug 2008 #4
D+F 12.2 #12
Aug 2006 #3
Aug 2005 #4
Aug 2003 #4
Aug 2002 #3
Jan 1999 #4
Aug 1990 #6
Aug 1980 #4
Week 7
January 2007 #5
August 2006 #6
January 2005 #5
August 2004 #4
August 2003 #6
January 2002 #3
January 2002 #4
August 1992 #2
January 1987 #5
August 1983 #3
Week 8
Aug 2007 #6
Jan 2007 #6
Jan 2006 #5
Jan 2005 #6
Aug 1996 #4
Aug 1995 #5
Aug 1991 #6
Jan 1990 #8
Aug 1989 #5
Jan 1998 #5
Week 9
August 2003 #5
August 2000 #1
January 1998 #5
August 1996 #4
January 1996 #2
August 1995 #5
August 1994 #6
January 1993 #2
August 1990 #7
January 1990 #8
Week 10
August 2003 #2,6
January 1997 #2,5
January 1995 #1,2
August 1990 #8
January 1989 #3
Spring 1988 #5
January 1986 #5