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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 1, Pages 55–73
DOI: https://doi.org/10.33048/smzh.2019.60.105 (Mi smj3058) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Arithmetic graphs and classes of finite groups

A. F. Vasilyev, V. I. Murashka

Francisk Skorina Gomel State University, Gomel, Belarus
Full-text PDF (389 kB) Citations (13)
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DOI: https://doi.org/10.33048/smzh.2019.60.105
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.
Keywords: finite group, directed graph, recognition by graph, arithmetic graph function, hereditary saturated formation.
Received: 06.09.2017
Revised: 29.08.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 41–55
DOI: https://doi.org/10.1134/S0037446619010051
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. F. Vasilyev, V. I. Murashka, “Arithmetic graphs and classes of finite groups”, Sibirsk. Mat. Zh., 60:1 (2019), 55–73; Siberian Math. J., 60:1 (2019), 41–55
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:542
    Full-text PDF :149
    References:160
    First page:108
     
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