CH 4 - Cyclic Groups

Question 1

Define a cyclic group G.

State and prove a lemma classifying cyclic groups.

State and prove a theorem on finite and infinite cyclic groups.

State and prove a corollary on groups of prime order.

Answer 1

Question 2

State a theorem (part a and b) on subgroups of finite cyclic groups.

Answer 2

Question 3

State a theorem on subgroups of infinite cyclic groups.

Answer 3