FINITE GROUPS IN WHICH EVERY NON-MAXIMAL PROPER SUBGROUPOF EVEN ORDER IS 2-CLOSED
Citation:
Li Shirong.FINITE GROUPS IN WHICH EVERY NON-MAXIMAL PROPER SUBGROUPOF EVEN ORDER IS 2-CLOSED[J].Chinese Annals of Mathematics B,1983,4(2):199~206
Page view: 681Net amount: 616
Authors:
Li Shirong;
Abstract:
In this paper the author classifies the finite groups satisfying the following condition:
(A) every non-maximal proper subgroup of even order is 2-closed.
Particularly, the following theorem is shown: $${A_5}$$ and SL(2,5) are the only non-solvable groups satisfying the condition (A).