Arithmetic Graphs and Classes of Finite Groups


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Abstract

An arithmetic graph function is a mapping associating to a finite group G the graph whose vertices are the divisors of |G|. We formulate and study the problem of recognizing hereditary saturated formations by arithmetic graph functions, and solve it for some arithmetic graph functions.

About the authors

A. F. Vasilyev

Francisk Skorina Gomel State University

Author for correspondence.
Email: formation56@mail.ru
Belarus, Gomel

V. I. Murashka

Francisk Skorina Gomel State University

Author for correspondence.
Email: mvimath@yandex.ru
Belarus, Gomel

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