Finite Groups with Minimal 1-pim

Let F be a field of characteristic ` > 0 and let G be a finite group. It is well-known that the dimension of the minimal projective cover Φ1 (the so-called 1PIM) of the trivial left F[G]-module is a multiple of the `-part |G|` of the order of G. In this note we study finite groups G satisfying dimF(Φ1 ) = |G|`. In particular, we classify the non-abelian… CONTINUE READING

1 Figure or Table