Minimal length factorizations of finite simple groups of Lie type by unipotent Sylow subgroups. (English) Zbl 1341.20008

Garonzi, Martino; Levy, Dan; Maróti, Attila; Simion, Iulian I.

J. Group Theory 19, No. 2, 337-346 (2016).

The main result of the paper under review is that every finite simple group of Lie type is the product of four unipotent Sylow subgroups. This result generalizes the results of other authors such as A. Smolensky, [Int. J. Algebra Comput. 23, No. 6, 1497-1502 (2013; Zbl 1283.20056)].

Reviewer: Mohammad-Reza Darafsheh (Tehran)

MSC:

20D06	Simple groups: alternating groups and groups of Lie type
20D40	Products of subgroups of abstract finite groups
20D20	Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure

Keywords:

Sylow subgroups; finite simple groups of Lie type; products of subgroups

Citations:

Zbl 1283.20056