Singleton (mathematics) and Symmetric group

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

Difference between Singleton (mathematics) and Symmetric group

Singleton (mathematics) vs. Symmetric group

In mathematics, a singleton, also known as a unit set, is a set with exactly one element. In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.

Similarities between Singleton (mathematics) and Symmetric group

Singleton (mathematics) and Symmetric group have 7 things in common (in Unionpedia): Empty set, Function (mathematics), Group (mathematics), Group homomorphism, Identity element, Set (mathematics), Tuple.

Empty set

In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.

Empty set and Singleton (mathematics) · Empty set and Symmetric group · See more »

Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

Function (mathematics) and Singleton (mathematics) · Function (mathematics) and Symmetric 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.

Group (mathematics) and Singleton (mathematics) · Group (mathematics) and Symmetric group · See more »

Group homomorphism

In mathematics, given two groups, (G, ∗) and (H, ·), a group homomorphism from (G, ∗) to (H, ·) is a function h: G → H such that for all u and v in G it holds that where the group operation on the left hand side of the equation is that of G and on the right hand side that of H. From this property, one can deduce that h maps the identity element eG of G to the identity element eH of H, and it also maps inverses to inverses in the sense that Hence one can say that h "is compatible with the group structure".

Group homomorphism and Singleton (mathematics) · Group homomorphism and Symmetric group · See more »

Identity element

In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.

Identity element and Singleton (mathematics) · Identity element and Symmetric group · See more »

Set (mathematics)

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

Set (mathematics) and Singleton (mathematics) · Set (mathematics) and Symmetric group · See more »

Tuple

In mathematics, a tuple is a finite ordered list (sequence) of elements.

Singleton (mathematics) and Tuple · Symmetric group and Tuple · See more »

The list above answers the following questions

What Singleton (mathematics) and Symmetric group have in common
What are the similarities between Singleton (mathematics) and Symmetric group

Singleton (mathematics) and Symmetric group Comparison

Singleton (mathematics) has 29 relations, while Symmetric group has 138. As they have in common 7, the Jaccard index is 4.19% = 7 / (29 + 138).

References

This article shows the relationship between Singleton (mathematics) and Symmetric group. To access each article from which the information was extracted, please visit:

Unionpedia is a concept map or semantic network organized like an encyclopedia – dictionary. It gives a brief definition of each concept and its relationships.

This is a giant online mental map that serves as a basis for concept diagrams. It's free to use and each article or document can be downloaded. It's a tool, resource or reference for study, research, education, learning or teaching, that can be used by teachers, educators, pupils or students; for the academic world: for school, primary, secondary, high school, middle, technical degree, college, university, undergraduate, master's or doctoral degrees; for papers, reports, projects, ideas, documentation, surveys, summaries, or thesis. Here is the definition, explanation, description, or the meaning of each significant on which you need information, and a list of their associated concepts as a glossary. Available in English, Spanish, Portuguese, Japanese, Chinese, French, German, Italian, Polish, Dutch, Russian, Arabic, Hindi, Swedish, Ukrainian, Hungarian, Catalan, Czech, Hebrew, Danish, Finnish, Indonesian, Norwegian, Romanian, Turkish, Vietnamese, Korean, Thai, Greek, Bulgarian, Croatian, Slovak, Lithuanian, Filipino, Latvian, Estonian and Slovenian. More languages soon.

All the information was extracted from Wikipedia, and it's available under the Creative Commons Attribution-ShareAlike License.

Unionpedia is not endorsed by or affiliated with the Wikimedia Foundation.

Google Play, Android and the Google Play logo are trademarks of Google Inc.