"group" in inglés with examples - Collocation dictionary inglés
- More generally, any group of Lie type has the structure of a BN-pair.
- BN-pairs can be used to prove that most groups of Lie type are simple.
- These correspond roughly to groups of Lie type of ranks 1 or 2 over fields of characteristic 2.
- G(4) is an exceptional group of Lie type.
- Many generalized polygons arise from groups of Lie type, but there are also exotic ones that cannot be obtained in this way.
- Alternating groups sometimes behave as if they were groups of Lie type over the field with one element.
- There are coincidences between alternating groups and small groups of Lie type:
- Similarly, many groups of Lie type are Hurwitz.
- Their finite analogues are the classical groups of Lie type.
- When the underlying ring is a finite field the classical groups are groups of Lie type.
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