|
In mathematical finite group theory, a group is said to be of characteristic 2 type or even type or of even characteristic if it resembles a group of Lie type over a field of characteristic 2. In the classification of finite simple groups, there is a major division between group of characteristic 2 type, where involutions resemble unipotent elements, and other groups, where involutions resemble semisimple elements. Groups of characteristic 2 type and rank at least 3 are classified by the trichotomy theorem. ==Definitions== A group is said to be of even characteristic if : for all maximal 2-local subgroups ''M'' that contain a Sylow 2-subgroup of ''G''. If this condition holds for all maximal 2-local subgroups ''M'' then ''G'' is said to be of characteristic 2 type. use a modified version of this called even type. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「characteristic 2 type」の詳細全文を読む スポンサード リンク
|