Search Header Logo

Groups Quiz

Authored by Elise Croft

Mathematics

12th Grade

Used 13+ times

Groups Quiz
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

    Content View

    Student View

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

G is a finite group. The subgroups of G are {a,c}, {b,c,e}, {c,d,e,f,g}. The identity element of G is:

It is not possible to say.

a

c

e

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

G is a finite group. The subgroups of G are {a,c}, {b,c,e}, {c,d,e,f,g}. The smallest possible value of the order of group G is:

5

8

15

30

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following are subgroups of the group of integers under addition?

A: the set of odd integers under addition

B: the set of even integers under addition

A only

B only

A and B

neither

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

 S4S_4  is called the permutation group. It is the group of all possible permutation of the numbers [1234]. Permutations are combined in the same way as functions: you carry out one permutation after another.

The number of subgroups of  S4S_4  which have order 2 is

3

6

9

12

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

 S4S_4  is called the permutation group. It is the group of all possible permutation of the numbers [1234]. Permutations are combined in the same way as functions: you carry out one permutation after another.

The possible orders of proper subgroups of  S4S_4  are

2,3,4,6

1,2,3,4,6,8,12,24

2,3,4,6,8,12

1,2,3,4,6,8,12

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

 S4S_4  is called the permutation group. It is the group of all possible permutation of the numbers [1234]. Permutations are combined in the same way as functions: you carry out one permutation after another.

Which of the following are subgroups of  S4S_4  ?
A: {[1234],[2143],[3412],[4321]}
B: {[1234],[1243],[2134],[2143]}

A only

B only

A and B

neither

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Which of these groups is cyclic?

A and B

A only

B only

neither

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?