Sylow正规化子为离散的有限群

FINITE GROUPS WITH DISPERSIVE SYLOW NORMALIZERS

讨论了 Sylow 子群正规化子为离散群的有限群,得到了这样的群中对于阶含两个素因数的群可能有任意大的幂零长.

This paper discusses finite groups with dispersive Sylow normalizers and proves that there are groups G involving just two primes in its order and all of whose Sylow normalizers are dispersive such that its nilpotent length may be of arbitrarily large.