E. A. Vit'ko, N. T. Vorob'ev, “Fitting functors and radicals of finite groups”, Sibirsk. Mat. Zh., 2011, Volume 52, Number 6,Pages <nobr>1253

This article is cited in 2 papers

Fitting functors and radicals of finite groups

E. A. Vit'ko, N. T. Vorob'ev

Vitebsk State University named after P. M. Masherov, Vitebsk, Belarus

Abstract: We develop methods for recognizing the Fitting classes and radicals of finite groups by Fitting functors and the prescribed properties of Hall $\pi$-subgroups.

Keywords: Fitting class, radical, Fitting $\mathfrak X$-functor, $\pi$-normally embedded Fitting $\mathfrak X$-functor.

UDC: 512.542

Received: 16.12.2010