Email this article Groups with Prescribed Systems of Schmidt Subgroups
- Authors: Murashka V.I.1
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Affiliations:
- Francisk Skorina Gomel State University
- Issue: Vol 60, No 2 (2019)
- Pages: 334-342
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172356
- DOI: https://doi.org/10.1134/S0037446619020149
- ID: 172356
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Abstract
A Schmidt (p, q)-group is a Schmidt group G with π(G) = {p, q} and normal Sylow p-subgroup. The N-critical graph ΓNc(G) of a group G is the directed graph with the vertex set π(G) in which (p, q) is an edge iff G has a Schmidt (p, q)-subgroup. The finite groups for which the degrees of vertices of the N-critical graph are at most 2 are studied.
About the authors
V. I. Murashka
Francisk Skorina Gomel State University
Author for correspondence.
Email: mvimath@yandex.ru
Belarus, Gomel
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