Answer to Question #118523 in Abstract Algebra for Jflows

Abstract Algebra

Question #118523

The set Z left (Gright) =left g in G:xg=gxfor all x in Gright is called ______
a.element
b.order
c.coset
d.centre

Expert's answer

"Z(G)=\\{g\\in G: \\ xg=gx, \\ \\forall x\\in G\\}" is called the center of "G" .

Answer: d.

Learn more about our help with Assignments: Abstract Algebra

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Every cyclic group is a.Commutative b.Distributive c.Multiplicative d.Additive
2. 1.Let G be a group. Then left (ab right)^−1=______ for every A in G. a.\\(b^{-1}a^{-1}\\) b.\\(A
3. list all groups of order 2, and a)determine whether the groups are cyclic or not b)determine wheth
4. for groups of order 1, a)determine whether the groups are cyclic or not b)determine whether the gr
5. Let A = l e f t − 1 , 1 , − i , i r i g h t , i = s q r t − 1 .
6. find all finite abelian group of order less than or equal to 40 up to isomorphism.
7. Let A=left−1,1,−i,iright,i=sqrt−1. Let the binary operation be multiplication, what is the inv