Sentences with COSETS
Check out our example sentences below to help you understand the context.Sentences
1
"The cosets of a group are formed by taking the elements and multiplying them by a fixed element."
2
"In mathematics, cosets are used to study the structure of groups."
3
"The index of a subgroup is equal to the number of cosets."
4
"Two cosets are either identical or disjoint."
5
"To find cosets, we need to specify a subgroup of a group."
6
"In abstract algebra, cosets play a crucial role in defining quotient groups."
7
"To construct cosets, we use the operation of the group."
8
"The set of all cosets forms a partition of the entire group."
9
"The cosets of a normal subgroup have special properties."
10
"The concept of cosets can be generalized to other algebraic structures."
11
"By studying the cosets of a group, we can gain insights into its properties and symmetries."
1
"The algebraic structure consists of a set of cosets."
2
"In group theory, cosets play a vital role."
3
"Theorem 1 proves the existence of cosets in any group."
4
"The cosets of a subgroup form a partition of the whole group."
5
"To prove Lagrange's theorem, one must understand cosets."
6
"Understanding the properties of cosets is crucial in abstract algebra."
7
"The intersection of two cosets is either empty or equal."
8
"The cosets of the additive group Z modulo 5Z are {0,1,2,3,4}."
