On the involution module of SL2(2ƒ).

For any group G the involutions ℐ in G form a G-set under conjugation. The corresponding kG-permutation module kℐ is known as the involution module of G, with k an algebraically closed field of characteristic two. In this paper we discuss the involution module of the special linear group SL2(2ƒ). We describe the vertices and the Loewy and Socle Series of all its components. [ABSTRACT FROM AUTHOR]