On abelian group actions with TNI-centralizers

Date

2019-07-03

Author

Ercan, Gülin
Guloglu, Ismail S.

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A subgroup H of a group G is said to be a TNI-subgroup if for any Let A be an abelian group acting coprimely on the finite group G by automorphisms in such a way that for all is a solvable TNI-subgroup of G. We prove that G is a solvable group with Fitting length h(G) is at most . In particular whenever is nonnormal. Here, h(G) is the Fitting length of G and is the number of primes dividing A counted with multiplicities.

Subject Keywords

Automorphism, Centralizer, Fitting length, TNI-subgroup

URI

https://hdl.handle.net/11511/39720

Collections

Department of Mathematics, Article