Action of a Frobenius-like group with kernel having central derived subgroup

作者：Ercan Gulin^*; Guloglu Ismail S

来源：International Journal of Algebra and Computation, 2016, 26(6): 1257-1265.

DOI：10.1142/S0218196716500533

• Frobenius-like group
• fixed points
• nilpotent length

A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that [F, h] = F for all nonidentity elements h is an element of H. Suppose that a finite group G admits a Frobenius-like group of auto-morphisms FH of coprime order with [F', H] = 1. In case where C-G( F) = 1 we prove that the groups G and C-G( H) have the same nilpotent length under certain additional assumptions.

• 出版日期2016-9