Algebra - Group Theory Q&A
Useful for B.Sc / M.Sc Maths | TRB | CSIR NET/SET | TNPSC
1) Cycle of length two is called ...... A) perfect cycle
B) Transposition
C) Even permutation
2) A group generated by a single element is called __________
3) S_n is non-abelian when .........
A) n ≥ 2
B) n ≤ 2
C ) n ≤ 3
D) n ≥ 3
4) Identity permutation is a ___________ permutation.
A) Odd
B) Even
C) Both odd and even.
5) The general linear group of degree n is,
A) A set of n×n singular matrices
B) A set of n×n invertible matrices
C) The set of all n×n matrices
D) The set of all n×n matrices with determinant 1.
Answers:
1 - B
2 - cyclic group
3 - D
4 - B
5 - B
