TY - JOUR

T1 - FINITE SIMPLE GROUPS WITH TWO MAXIMAL SUBGROUPS OF COPRIME ORDERS

AU - Maslova, N. V.

N1 - MThe reported study was funded by RFBR and BRFBR, project number 20-51-00007 . Received April, 23, 2022, published December, 12, 2023.

PY - 2023

Y1 - 2023

N2 - In 1962, V. A. Belonogov proved that if a finite group G contains two maximal subgroups of coprime orders, then either G is one of known solvable groups or G is simple. In this short note based on results by M. Liebeck and J. Saxl on odd order maximal subgroups infinite simple groups we determine possibilities for triples (G, H, M), where G is a finite nonabelian simple group, H and M are maximal subgroups of G with (vertical bar H vertical bar, vertical bar M vertical bar) = 1.

AB - In 1962, V. A. Belonogov proved that if a finite group G contains two maximal subgroups of coprime orders, then either G is one of known solvable groups or G is simple. In this short note based on results by M. Liebeck and J. Saxl on odd order maximal subgroups infinite simple groups we determine possibilities for triples (G, H, M), where G is a finite nonabelian simple group, H and M are maximal subgroups of G with (vertical bar H vertical bar, vertical bar M vertical bar) = 1.

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001164415400001

UR - http://www.scopus.com/inward/record.url?scp=85186895567&partnerID=8YFLogxK

U2 - 10.33048/semi.2023.020.071

DO - 10.33048/semi.2023.020.071

M3 - Article

VL - 20

SP - 1150

EP - 1159

JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

SN - 1813-3304

IS - 2

ER -