Characterizations of the Fischer Groups. I, II, III
Characterizations of the Fischer Groups. I, II, III
B. Fischer, in his work on finite groups which contain a conjugacy class of $3$-transpositions, discovered three new sporadic finite simple groups, usually denoted $M(22)$, $M(23)$ and $M(24)â$. In Part I two of these groups, $M(22)$ and $M(23)$, are characterized by the structure of the centralizer of a central involution. …