Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Algebra Group & Subgroups
Let S5 be the symmetric group on five symbols. Then which of the following statements is false?
1
S5 contains a cyclic subgroup of order 6
2
S5 contains a non-Abelian subgroup of order 8
3
S5 does not contain a subgroup isomorphic to ℤ/2ℤ × ℤ/2ℤ
4
S5 does not contain a subgroup of order 7