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Order (group theory) and Prime number

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Order (group theory) and Prime number

Order (group theory) vs. Prime number

In group theory, a branch of mathematics, the term order is used in two unrelated senses. A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

Similarities between Order (group theory) and Prime number

Order (group theory) and Prime number have 10 things in common (in Unionpedia): Composite number, Coprime integers, Cyclic group, Divisor, Euler's totient function, Finite group, Lagrange's theorem (group theory), Linearly ordered group, Modular arithmetic, Set (mathematics).

Composite number

A composite number is a positive integer that can be formed by multiplying together two smaller positive integers.

Composite number and Order (group theory) · Composite number and Prime number · See more »

Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

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Cyclic group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element.

Cyclic group and Order (group theory) · Cyclic group and Prime number · See more »

Divisor

In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.

Divisor and Order (group theory) · Divisor and Prime number · See more »

Euler's totient function

In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to.

Euler's totient function and Order (group theory) · Euler's totient function and Prime number · See more »

Finite group

In abstract algebra, a finite group is a mathematical group with a finite number of elements.

Finite group and Order (group theory) · Finite group and Prime number · See more »

Lagrange's theorem (group theory)

Lagrange's theorem, in the mathematics of group theory, states that for any finite group G, the order (number of elements) of every subgroup H of G divides the order of G. The theorem is named after Joseph-Louis Lagrange.

Lagrange's theorem (group theory) and Order (group theory) · Lagrange's theorem (group theory) and Prime number · See more »

Linearly ordered group

In abstract algebra a linearly ordered or totally ordered group is a group G equipped with a total order "≤", that is translation-invariant.

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Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).

Modular arithmetic and Order (group theory) · Modular arithmetic and Prime number · See more »

Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

Order (group theory) and Set (mathematics) · Prime number and Set (mathematics) · See more »

The list above answers the following questions

Order (group theory) and Prime number Comparison

Order (group theory) has 36 relations, while Prime number has 340. As they have in common 10, the Jaccard index is 2.66% = 10 / (36 + 340).

References

This article shows the relationship between Order (group theory) and Prime number. To access each article from which the information was extracted, please visit:

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