TY - JOUR

T1 - ОДНО СЛЕДСТВИЕ ОПИСАНИЯ КОНЕЧНЫХ ГРУПП БЕЗ ЭЛЕМЕНТОВ ПОРЯДКА 6

AU - Кондратьев, Анатолий Семенович

AU - Нирова, М. С.

PY - 2023

Y1 - 2023

N2 - Let G be a finite group. The set of all prime divisors of the order of G is denoted by π(G). The Gruenberg-Kegel graph (the prime graph) Γ(G) of G is defined as the graph with the vertex set π(G) in which two different vertices p and q are adjacent if and only if G contains an element of order pq. If the order of G is even, then π1(G) denotes the connected component of Γ(G) containing 2. It is actual the problem of describing finite groups with disconnected Gruenberg-Kegel graphs. In the present article, all finite non-solvable groups G with 3 ∈ π(G)\π1(G) are determined.

AB - Let G be a finite group. The set of all prime divisors of the order of G is denoted by π(G). The Gruenberg-Kegel graph (the prime graph) Γ(G) of G is defined as the graph with the vertex set π(G) in which two different vertices p and q are adjacent if and only if G contains an element of order pq. If the order of G is even, then π1(G) denotes the connected component of Γ(G) containing 2. It is actual the problem of describing finite groups with disconnected Gruenberg-Kegel graphs. In the present article, all finite non-solvable groups G with 3 ∈ π(G)\π1(G) are determined.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85176557122

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001095866000003

U2 - 10.33048/semi.2023.20.052

DO - 10.33048/semi.2023.20.052

M3 - Статья

VL - 20

SP - 854

EP - 858

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

ER -