2 votes 2 votes Let G be a non abelian group, order of G can be 24 44 54 34 Set Theory & Algebra abelian-group group-theory + – A_i_$_h asked Jan 30, 2018 • recategorized Sep 22, 2018 by Mk Utkarsh A_i_$_h 572 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes break all the number in there prime factor and refer this https://math.stackexchange.com/questions/1126354/order-of-non-abelian-group-cant-be-what 24 will be the answer & every group of order p^2 is abelian so 44 will be discarded and for rest option refer the link akshat sharma answered Jan 30, 2018 akshat sharma comment Share Follow See 1 comment See all 1 1 comment reply A_i_$_h commented Jan 30, 2018 reply Follow Share what value of p gives p2 =44? and the explanation there i have quoted here Suppose p divides q−1 then there is a unique nonabelian group of order pq,obviously upto isomorphism. option 2 => 54 can be written as 2 * 33 p =27 and q-1 = 2-1 =1 27 divides 1 so 54 can be order of non abelian right 0 votes 0 votes Please log in or register to add a comment.