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On finite groups admitting a special noncoprime action
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Date
2005-01-01
Author
Ercan, Gülin
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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An important result of Turull ( 1984) is the following: Let GA be a finite solvable group, G GA and (vertical bar G vertical bar, vertical bar A vertical bar) = 1. Then f( G) = f(C-G(A)) + 2l(A), where f denotes the Fitting height and l denotes the composition length.
Subject Keywords
Applied Mathematics
,
General Mathematics
URI
https://hdl.handle.net/11511/42410
Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
DOI
https://doi.org/10.1090/s0002-9939-05-08011-1
Collections
Department of Mathematics, Article
