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Sentences with GROUP-THEORY

Check out our example sentences below to help you understand the context.

Sentences

1
"In group theory, a group is a set equipped with a binary operation that combines any two elements to form a third element."
2
"The concept of symmetry plays a fundamental role in group theory."
3
"The study of group theory involves exploring the structure and properties of groups."
4
"In group theory, the identity element is an element that leaves other elements unchanged when combined with them."
5
"The concept of a group homomorphism is a central idea in group theory."
6
"The symmetric group is an important example in the study of group theory."
7
"Many interesting properties of groups can be derived from group theory."
8
"In group theory, the concept of a cyclic group refers to a group generated by a single element."
9
"In abstract algebra, group theory is a foundational topic that helps understand various algebraic structures."
1
"In physics, group theory can be used to analyze symmetry and conservation laws."
2
"Understanding group theory is essential for studying abstract algebra."
3
"The application of group theory extends beyond mathematics to various scientific fields."
4
"One of the fundamental concepts in group theory is the group operation."
5
"The study of crystal structures heavily relies on the principles of group theory."
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