In mathematics, a quasithin group is roughly a finite simple group of characteristic 2 type and width 2. Here characteristic 2 type means that its centralizers of involutions resemble those of groups of Lie type over fields of characteristic 2, and the width is roughly the maximal rank of an abelian group of odd order normalizing a non-trivial 2-subgroup of G. When G is a group of Lie type of characteristic 2 type, the width is usually the rank (the dimension of a maximal torus of the algebraic group).
Read more about Quasithin Group: Classification
Famous quotes containing the word group:
“Belonging to a group can provide the child with a variety of resources that an individual friendship often cannota sense of collective participation, experience with organizational roles, and group support in the enterprise of growing up. Groups also pose for the child some of the most acute problems of social lifeof inclusion and exclusion, conformity and independence.”
—Zick Rubin (20th century)