Math 503
Practice for the test November 17, 2010
W. Heinzer
1. Let R be a commutative ring with 1 6= 0 and let P be an ideal of R.
(a) Define P is a prime ideal.
(b) If P is a prime ideal of R and I a
Math 503
Practice for the test October 6, 2010
W. Heinzer
1. Let G be the group of rigid motions in R3 of a cube. What is the order of G? Justify your answer.
2. Prove or disprove that the dihedral gr
Math 503
Practice for final 8:00 - 10:00 am Dec. 15, 2010
W. Heinzer
1. Determine the number of elements of order 3 in the symmetric group S4 .
2. Determine the number of elements of order 3 in the sy