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

Date

2016-09-01

Author

Ercan, Gülin
Güloğlu, İsmail Şuayip

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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.

Subject Keywords

Frobenius-like group, Fixed Points, Nilpotent Length

URI

https://hdl.handle.net/11511/48783

Collections

Department of Mathematics, Article