Let be a finite group. We prove that if the number of Sylow -subgroups of is at most and the number of Sylow -subgroups of is at most , then is solvable. This is a strong form of a recent conjecture of Robati.
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Chimere Stanley Anabanti 1; Alexander Moretó 2; Mohammad Zarrin 3
@article{CRMATH_2020__358_11-12_1227_0, author = {Chimere Stanley Anabanti and Alexander Moret\'o and Mohammad Zarrin}, title = {Influence of the number of {Sylow} subgroups on solvability of finite groups}, journal = {Comptes Rendus. Math\'ematique}, pages = {1227--1230}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {11-12}, year = {2020}, doi = {10.5802/crmath.146}, language = {en}, }
TY - JOUR AU - Chimere Stanley Anabanti AU - Alexander Moretó AU - Mohammad Zarrin TI - Influence of the number of Sylow subgroups on solvability of finite groups JO - Comptes Rendus. Mathématique PY - 2020 SP - 1227 EP - 1230 VL - 358 IS - 11-12 PB - Académie des sciences, Paris DO - 10.5802/crmath.146 LA - en ID - CRMATH_2020__358_11-12_1227_0 ER -
%0 Journal Article %A Chimere Stanley Anabanti %A Alexander Moretó %A Mohammad Zarrin %T Influence of the number of Sylow subgroups on solvability of finite groups %J Comptes Rendus. Mathématique %D 2020 %P 1227-1230 %V 358 %N 11-12 %I Académie des sciences, Paris %R 10.5802/crmath.146 %G en %F CRMATH_2020__358_11-12_1227_0
Chimere Stanley Anabanti; Alexander Moretó; Mohammad Zarrin. Influence of the number of Sylow subgroups on solvability of finite groups. Comptes Rendus. Mathématique, Volume 358 (2020) no. 11-12, pp. 1227-1230. doi : 10.5802/crmath.146. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.146/
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