Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Engineering Mathematics Set Theory & Algebra Groups
Consider the following statements:
S1: If a group (G, *) is of order n, and a ∈ G is such that am = e for some integer m ≤ n, then m must divide n.
S2: If a group (G, *) is of even order, then there must be an element a ∈ G such that a ≠ e and a * a = e
1
Only S1
2
Only S2
3
Both S1 and S2
4
Neither S1 nor S2