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Irina18 [472]
3 years ago
8

Prove that Zn Zn is notisomorphic to any subgroup of Zm for any m.

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0

Answer and Step-by-step explanation:

Every group homomorphism ϕ:Zn→Zm extends in a unique way to a linear transformation T:Qn→Qm of vector spaces over Q.

Moreover, ϕ is injective iff T is injective. But T being injective implies n≤m.

Applying this to both ϕ and ϕ−1, we conclude that n≤m≤n.

NOTE:

The proof and step-by-step explanation is in the attachment below

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Which functions are the same as their inverse functions
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Answer:

we need to so the functions

Step-by-step explanation:

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4 years ago
Find the height of the given pyramid.<br><br> 2.3m<br> 4.5m<br> 6m<br> 7m
Alex Ar [27]

Answer:

The height is 7 m.

Step-by-step explanation:

Volume = 1/3 * area of the base * height, so

28 = 1/3 * 3 * 4 * h

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4 0
3 years ago
15% of the apple trees are red delicious apple trees. The orchard has 36 red delicious apple trees.
grin007 [14]

Answer:

240

Step-by-step explanation:

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8 0
3 years ago
The Gross Domestic of a country in the first quarter of 2014 was $1.3299×10×8.<br> GPD=$
krek1111 [17]

The GDP of the country for 2014 is $5.3196 × 10⁸.

<h3>What is multiplication?</h3>

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given the Gross Domestic of a country in the first quarter of 2014 was $1.3299×10⁸. Therefore, the GDP of the country for that year will be,

GDP = 4 × (Gross Domestic for a single quarter)

         = 4 × ($1.3299×10⁸)

         = $5.3196 × 10⁸

Hence, the GDP of the country for 2014 is $5.3196 × 10⁸.

Learn more about Multiplication:

brainly.com/question/14059007

#SPJ1

6 0
2 years ago
When a number is decreased by 40% of itself the result is 96. What is the number?
Nikitich [7]

Answer:

160

Step-by-step explanation:

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= 96/0.6 = 160

3 0
3 years ago
Read 2 more answers
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