FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 8, PAGES 229-244

**Local definitions of formations of finite groups**

L. A. Shemetkov

Abstract

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A problem of constructing local definitions for formations of
finite groups is discussed in the article.
The author analyzes relations between local definitions of various
types.
A new proof of the existence of an $$w-composition satellite
of an $$w-solubly saturated
formation is obtained.
It is proved that if a nonempty formation of finite groups is
$\$\; \backslash mathfrak\; X\; \$$-local by Förster, then it has an
$\$\; \backslash mathfrak\; X\; \$$-composition satellite.

Location: http://mech.math.msu.su/~fpm/eng/k10/k108/k10812h.htm

Last modified: December 5, 2011