This article is cited in 3 papers

On congruences of $m$-groups

A. V. Zenkov

Altai State Agricultural University, Barnaul, Russia

Abstract: We indicate a way for constructing $m$-congruences of an arbitrary $m$-transitive representation, introduce the notions of $m$-$2$-transitive and $m$-primitive representations, and describe the $m$-transitive primitive representations in terms of stabilizers. Also we give necessary and sufficient conditions for $m$-$2$-transitivity and study some properties of these representations.

Keywords: $m$-group, representation, $m$-block.

UDC: 512.545

Received: 27.12.2012

 English version: Siberian Mathematical Journal, 2013, 54:6, 1018–1022

Bibliographic databases:

• 
• 
•