Let be a finite group of odd order with derived length . We show that if is acted on by an elementary abelian group of order and has exponent , then has a normal series such that the quotients have -bounded exponent and the quotients are nilpotent of -bounded class.
Cite this article
Karise G. Oliveira, Pavel Shumyatsky, Carmela Sica, On Groups of Odd Order Admitting an Elementary 2-Group of Automorphisms. Rend. Sem. Mat. Univ. Padova 126 (2011), pp. 229–236DOI 10.4171/RSMUP/126-13