PERMUTATION-GROUPS WITHOUT EXPONENTIALLY MANY ORBITS ON THE POWER SET

[摘要] We prove that if a permutation group G of degree n has no alternating composition factors of degree greater than t then G has at least 2cn/t orbits on the power set for some constant c > 0. This is best possible apart from the value of c. The proof is elementary. (C) 1994 Academic Press. Inc.

[发布日期] 1994-04-01