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Suzuki classified all Zassenhaus groups of finite odd degree. He showed thatsuch a group is either isomorphic to a Suzuki group or to $\PSL(2,q)$ with $q$a power of $2$. In this paper we give another proof of this result using thelanguage of Moufang sets. More precisely, we show that every Zassenhaus Moufangset having root groups of finite even order is either special and thusisomorphic to the projective line over a finite field of even order or isisomorphic to a Suzuki Moufang set.

FINITE ZASSENHAUS MOUFANG SETS WITH ROOT GROUPS OF EVEN ORDER