| Encyclopedia4U - Glossary of group theory - Encyclopedia Article (822 words) |
 | It is the preimage of the identity in the codomain of a group homomorphism. |
| Every finite group is built up from simple groups through the use of group extensions, so the study and classification of finite simple groups is central to the study of finite groups in general. |
| Denoted by GL(n, F), is the group of n-by-n invertible matrices, where the elements of the matrices are taken from a field F such as the real numbers or the complex numbers. |
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