Janko Group Research Articles

CHARACTERIZATION OF SOME FINITE SIMPLE GROUPS

The paper contains a characterization, by means of their biprimary subgroups of even order, of the following finite simple groups: the special projective linear groups PSL(2, q) (q > 3), the Suzuki groups Sz(q), and Janko's group J of order 175,560.

Janko's group as a collineation group in PG(6,11)

In (2) Janko gives 7 × 7 matrices over GF (11) which generate a copy of his new simple group. This matrix group induces a representation of Janko's group as a collineation group in PG (6,11)—i.e. 6-dimensional protective space over GF (11)—and the present paper is devoted to the results of study of this geometrical representation.

On a permutation representation of the Janko group

On a permutation representation of the Janko group