How many properties can be held by a group?
Answers
Explanation:
A group is a monoid with an inverse element. The inverse element (denoted by I) of a set S is an element such that (aοI)=(Iοa)=a, for each element a∈S. So, a group holds four properties simultaneously - i) Closure, ii) Associative, iii) Identity element, iv) Inverse element.
Answer:
A group, G, is a finite or infinite collection of elements or factors that are joined together by a binary operation or group operation and that all share the four fundamental characteristics of the group.
Explanation:
What are the properties of group?
A group is any collection of individuals, businesses, or other entities that are regarded as one unit due to a shared characteristic.
A group, G, is a finite or infinite collection of parts or factors that are connected by a binary operation or group operation and that all share the four main characteristics of the group: closure, associativity, identity, and inverse property.
A group is a collection of elements that can be finite or infinite and a binary operation known as the group operation that together meet the four essential properties of closure, associativity, identity, and inverse.
There is just one identity component for a group.
Therefore, the answer is i) Closure, ii) Associative, iii) Identity element, iv) Inverse element.
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Answer:
A group, G, is a finite or infinite collection of elements or factors that are joined together by a binary operation or group operation and that all share the four fundamental characteristics of the group.
Explanation:
What are the properties of group?
A group is any collection of individuals, businesses, or other entities that are regarded as one unit due to a shared characteristic.
A group, G, is a finite or infinite collection of parts or factors that are connected by a binary operation or group operation and that all share the four main characteristics of the group: closure, associativity, identity, and inverse property.
A group is a collection of elements that can be finite or infinite and a binary operation known as the group operation that together meet the four essential properties of closure, associativity, identity, and inverse.
There is just one identity component for a group.
Therefore, the answer is i) Closure, ii) Associative, iii) Identity element, iv) Inverse element.
To learn more about group properties refer to:
https://brainly.in/question/5403837
https://brainly.in/question/46013709
#SPJ2