Solution Found!
Suppose the table below is a group table. Fill in the
Chapter 2, Problem 33E(choose chapter or problem)
QUESTION:
Suppose the table below is a group table. Fill in the blank entries.
Questions & Answers
QUESTION:
Suppose the table below is a group table. Fill in the blank entries.
ANSWER:Step 1 of 5
Consider the following properties of group;
* It has a unique identity element, .
* For each element, the inverse is unique.
In order to be a group, no entry in the Cayley table should repeat in its corresponding row and column.
This property can be used to complete the table.
Apply the property of unique identity element to complete the first row and first column,
* |
e |
a |
b |
c |
d |
e |
e |
a |
b |
c |
d |
a |
a |
b |
- |
- |
e |
b |
b |
c |
d |
e |
- |
c |
c |
d |
- |
a |
b |
d |
d |
- |
- |
- |
- |