MATH 350 Final: MATH 350 Amherst F16M350Final

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 350
• Professor: All

Document Summary

Partial credit will be given only if su cient progress towards an answer is shown. You need to provide a de nition for all technical terms you use on that have not been previously de ned on the exam). (a) group (b) subgroup. Fall 2016 (c) normal subgroup (d) factor (quotient) group (e) simple group. Fall 2016: (20 points) de ne the following concepts. (please be precise. You need to provide a de nition for all technical terms you use on that have not been previously de ned on the exam). (a) commutative ring with identity (b) unit (c) ideal. Fall 2016 (d) principal ideal (e) maximal ideal. Justify your answer. (b) (10 points) write all possible disjoint cycle structures for elements of s5, for each cycle structure provide the order and the number of elements of s5 that possess that cycle structure. Fall 2016 (c) (5 points) if a8 and we know that.