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math.GR2018
Suzuki-Ree groups and Tits mixed groups over rings
Andrei Smolensky
It is shown that Suzuki-Ree groups can be easily defined by means of comparing two fundamental representations of the ambient Chevalley group in characteristic 2 or 3. This elimina…
math.GR2018
On the definition of Suzuki groups over rings
Andrei Smolensky
The definition of Suzuki groups over rings is given by means of an explicit description as a difference-algebraic group. For a (not necessarily perfect) field with more than two el…
math.GR2015
Products of Sylow subgroups in Suzuki and Ree groups
Andrei Smolensky
An explicit and elementary proof is given to the fact that Suzuki and Ree groups can be decomposed into the product of 4 of their Sylow p-subgroups, where p is the defining charact…