mathematical group Sentence Examples
- Abstract algebra studies the properties of mathematical groups, which are sets with an operation satisfying certain axioms.
- The set of integers under addition forms a mathematical group known as the additive group of integers.
- The set of non-zero rational numbers under multiplication forms a mathematical group called the multiplicative group of rational numbers.
- The symmetric group of a set is the mathematical group of all permutations of that set.
- The group of matrices with determinant 1 is a mathematical group that arises in linear algebra.
- The mathematical group of rotations in three-dimensional space is important in physics and geometry.
- The alternating group is a mathematical group that consists of even permutations of a set.
- The mathematical group of quaternions is a non-commutative group that extends the complex numbers.
- The free group on a set is the mathematical group generated by that set without any relations.
- The Lorentz group is a mathematical group that describes the symmetry transformations of special relativity.
mathematical group Meaning
Wordnet
mathematical group (n)
a set that is closed, associative, has an identity element and every element has an inverse
Synonyms & Antonyms of mathematical group
No Synonyms and anytonyms found
FAQs About the word mathematical group
a set that is closed, associative, has an identity element and every element has an inverse
No synonyms found.
No antonyms found.
Abstract algebra studies the properties of mathematical groups, which are sets with an operation satisfying certain axioms.
The set of integers under addition forms a mathematical group known as the additive group of integers.
The set of non-zero rational numbers under multiplication forms a mathematical group called the multiplicative group of rational numbers.
The symmetric group of a set is the mathematical group of all permutations of that set.
