Quasithin group

Quasithin group

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).

The quasithin groups were classified in a huge paper by Aschbacher and Smith,published in 2 volumes totalling about 1300 pages.

References

*M. Aschbacher, Stephen D. Smith "The classification of quasithin groups I and II", ISBN 0-8218-3410-X and ISBN 0-8218-3411-8


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