1,173 views
1 votes
1 votes

which of the following is wrong?

A)group of order is 27 is cyclic

B)group of order is 14 is cyclic

C)group of order is 21 is cyclic

  group of order is 30 is cyclic

1 Answer

3 votes
3 votes

If group order is divisible by P2 where P is prime then group is Non Cyclic Abelian Group.
here, 27 is 32*3  so it is not cyclic ..

edited by

Related questions

5 votes
5 votes
1 answer
1
Lakshman Bhaiya asked Oct 7, 2018
2,115 views
Suppose that $G$ is a cyclic group of order $10$ with generator $a\in G$.Order of $a^{8}$ is _______
1 votes
1 votes
1 answer
2
ankitgupta.1729 asked Dec 6, 2017
1,135 views
Find all the subgroups of a cyclic group of order 12.(A) {e},(a6),(a4),(a3),(a2),(a)(B) (a12),(a6),(a4),(a3),(a2),(a)(C) (a12),(a6),(a4),(a2),(a)(D) (a12),(a6),(a4),(a3),...
1 votes
1 votes
1 answer
3
S Harika asked Apr 14, 2017
5,365 views
How to find no. of generators of cyclic group of orden n ?
3 votes
3 votes
2 answers
4
pratikb asked Dec 23, 2014
2,535 views
If G is an infinite cyclic group then which of the following is not true?a) G has exactly 2 generators.b) G is isomorphic to (Z,+).c) Every proper sub group of G is fini...