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Cyclic number (group theory)

Index Cyclic number (group theory)

A cyclic number is a natural number n such that n and φ(n) are coprime. [1]

11 relations: Commentarii Mathematici Helvetici, Coprime integers, Cyclic group, Euler's totient function, Group (mathematics), If and only if, Natural number, Order (group theory), Prime number, Square-free integer, Tibor Szele.

Commentarii Mathematici Helvetici

The Commentarii Mathematici Helvetici is a peer-reviewed scientific journal in mathematics.

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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.

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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.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

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Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

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Order (group theory)

In group theory, a branch of mathematics, the term order is used in two unrelated senses.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Square-free integer

In mathematics, a square-free integer is an integer which is divisible by no perfect square other than 1.

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Tibor Szele

Tibor Szele (Debrecen, 21 June 1918 – Szeged, 5 April 1955) Hungarian mathematician, working in combinatorics and abstract algebra.

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References

[1] https://en.wikipedia.org/wiki/Cyclic_number_(group_theory)

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