All categories

2 years ago

Find a normal subgroup of v which is not normal in a4.

1 answer:

6 0

he elements of the Klein 44-group sitting inside A4A4 are precisely the identity, and all elements of A4A4of the form (ij)(kℓ)(ij)(kℓ) (the product of two disjoint transpositions).

Since conjugation in SnSn (and therefore in AnAn) does not change the cycle structure, it follows that this subgroup is a union of conjugacy classes, and therefore is normal.

You might be interested in

Find the cardinal number of the given set. A = {{3, 5, 7, ... 25}}

Allisa [31]

Answer:

Step-by-step explanation:

The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;

A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}

Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12

7 0

2 years ago

There are 625 students at Median middle school. If 8% of the students were absent on Tuesday , how many students were absent?

kozerog [31]

625/8
=78.12
X100
=7,812

4 0

2 years ago

Week 5 Quiz - Saving (15pts) 1. If the interest rate on a savings account is 0.01%, approximately how much money do you need to

LenaWriter [7]

In order to calculate the minimum amount required, we will first round the below-minimum-balance fee to $10. Next, we will use the equation:
A = I * (IR)^n, where A is the amount after n years and I is the initial investment and IR is the interest rate per year.
10 = I*(0.0001)^1
I = $100,000
$100,000 must be in the account to cover the minimum fees.

4 0

2 years ago

This is hard pls help

makkiz [27]

The length of the SM parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.

<h3>What is the area of a rectangle?</h3>

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

$A=a\times b$

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The length of the rectangle is 15 cm and width is 8 cm. Thus, the area of it is,

$A=15\times8\\A=120\rm\; cm^2$

All three parts has equal area. Thus, the area of parallelogram NCMA is,

$A_p=\dfrac{120}{3}\\A_p=40\rm\; cm^2$

MN is the height of the parallelogram. Thus,

$A_p=h\times AS\\40=h\times15\\h=\dfrac{40}{15}\\h=\dfrac{8}{5}$

Thus, the length of the Sm parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.

Learn more about the area of rectangle here;

brainly.com/question/11202023

#SPJ1

4 0

1 year ago

A pack of paper costs $3.75, including tax. Mr. Valentino wants to purchase packs of paper for his class and has a $20 budget. W

gizmo_the_mogwai [7]

He can at least buy 5

8 0

1 year ago