On finite groups admitting a special noncoprime action

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2005-01-01
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.

Citation Formats
G. Ercan, “On finite groups admitting a special noncoprime action,” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 133, no. 9, pp. 2543–2547, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42410.