Abstract Algebra - Groups

1

identify the following definition.

Given is a normal subgroup of , it is denoted that when the group of left cosets of in is called __________.

2

Which of the following is an identity element of the binary operation ?

3

Which of the following is an identity element of the binary operation ?

4

identify the following definition.

Given is a normal subgroup of , it is denoted that when the group of left cosets of in is called __________.

5

Determine whether the statement is true of false:

6

Which of the following illustrates the inverse element?

7

Which of the following illustrates the inverse element?

8

Determine whether the statement is true of false:

Groups