Результаты исследований: Вклад в журнал › Статья › Рецензирование
Результаты исследований: Вклад в журнал › Статья › Рецензирование
}
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 -
ID: 48545380