linear group
Hello, you have come here looking for the meaning of the word linear group. In DICTIOUS you will not only get to know all the dictionary meanings for the word linear group, but we will also tell you about its etymology, its characteristics and you will know how to say linear group in singular and plural. Everything you need to know about the word linear group you have here. The definition of the word linear group will help you to be more precise and correct when speaking or writing your texts. Knowing the definition oflinear group, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
English
Noun
linear group (plural linear groups)
- (group theory) Any group that is isomorphic to a matrix group.
- 2003, Paul M. Cohn, Further Algebra and Applications, Springer, page 116:
- In this section we shall describe the linear groups and in the next two sections we deal with the symplectic and orthogonal groups, collectively usually known under the name of classical groups since the time of Hermann Weyl (1939).
- 2007, Peter Schmid, The Solution of the k(GV) Problem, Imperial College Press, page vii,
- So finite groups often appear as subgroups of permutation groups or linear groups. The “geometry” of a group (as permutation group or linear group, or as a group of Lie type etc.) should be used in order to describe basic invariants.
- 2007, Karl Heinrich Hofmann, Sidney A. Morris, The Lie Theory of Connected Pro-Lie Groups, European Mathematical Society, page 1:
- The standard examples are linear groups such as the orthogonal and unitary groups, or the additive groups of p-adic integers, and this confirms that the concept of a compact group is natural.
Derived terms
Translations
group isomorphic to a matrix group