有限群亏零块的存在性

The Existence of p-Blocks of Defect 0 in a Finite Group

给出了幂零群被交换群扩张的群G有亏零p-块的充要条件是O_p(G)=1.以及p-幂零群有亏零p-块的充要条件.

We obtain some group theoretic conditions for the existence of p-blocks with defect 0 in an extension group of a nilpotent group by an abelian group and in a p-nilpotent group.