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Cyclic group and Symmetry group

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

Difference between Cyclic group and Symmetry group

Cyclic group vs. Symmetry group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element. In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.

Similarities between Cyclic group and Symmetry group

Cyclic group and Symmetry group have 10 things in common (in Unionpedia): Automorphism, Circle group, Complex number, Frieze group, Group (mathematics), If and only if, Klein four-group, Rotational symmetry, Subgroup, Up to.

Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

Automorphism and Cyclic group · Automorphism and Symmetry group · See more »

Circle group

In mathematics, the circle group, denoted by T, is the multiplicative group of all complex numbers with absolute value 1, that is, the unit circle in the complex plane or simply the unit complex numbers The circle group forms a subgroup of C×, the multiplicative group of all nonzero complex numbers.

Circle group and Cyclic group · Circle group and Symmetry group · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Cyclic group · Complex number and Symmetry group · See more »

Frieze group

In mathematics, a frieze or frieze pattern is a design on a two-dimensional surface that is repetitive in one direction.

Cyclic group and Frieze group · Frieze group and Symmetry group · See more »

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.

Cyclic group and Group (mathematics) · Group (mathematics) and Symmetry group · See more »

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.

Cyclic group and If and only if · If and only if and Symmetry group · See more »

Klein four-group

In mathematics, the Klein four-group (or just Klein group or Vierergruppe, four-group, often symbolized by the letter V or as K4) is the group, the direct product of two copies of the cyclic group of order 2.

Cyclic group and Klein four-group · Klein four-group and Symmetry group · See more »

Rotational symmetry

Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn.

Cyclic group and Rotational symmetry · Rotational symmetry and Symmetry group · See more »

Subgroup

In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗.

Cyclic group and Subgroup · Subgroup and Symmetry group · See more »

Up to

In mathematics, the phrase up to appears in discussions about the elements of a set (say S), and the conditions under which subsets of those elements may be considered equivalent.

Cyclic group and Up to · Symmetry group and Up to · See more »

The list above answers the following questions

Cyclic group and Symmetry group Comparison

Cyclic group has 106 relations, while Symmetry group has 72. As they have in common 10, the Jaccard index is 5.62% = 10 / (106 + 72).

References

This article shows the relationship between Cyclic group and Symmetry group. To access each article from which the information was extracted, please visit:

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