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Algebra - Group Theory MCQ Q&A

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