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Action of a Frobenius-like group with kernel having central derived subgroup
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Date
2016-09-01
Author
Ercan, Gülin
Güloğlu, İsmail Şuayip
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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
Journal
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
DOI
https://doi.org/10.1142/s0218196716500533
Collections
Department of Mathematics, Article