A characterization ofL n (q) by the normalizers' orders of their sylow subgroups

DOI10.1007/BF02265395zbMath0839.20020MaRDI QIDQ4860423

Jianxing Bi

Publication date: 10 June 1996

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsnormalizersSylow subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)

Related Items (11)

Thompson's conjecture for finite simple groups of Lie type \(B_n\) and \(C_n\). ⋮ Thompson's conjecture for some finite simple groups with connected prime graph. ⋮ Characterization of projective linear groups by the order of the normalizer of a Sylow subgroup. ⋮ ON THE THOMPSON'S CONJECTURE ON CONJUGACY CLASSES SIZES ⋮ CHARACTERIZING PSL₂(r) BY ITS ORDER AND THE NUMBER OF ITS SYLOW r-SUBGROUPS ⋮ A new characterization of \(L_2(r)\) by their Sylow numbers. ⋮ A CHARACTERIZATION OF B_n(q) BY THE SET OF ORDERS OF MAXIMAL ABELIAN SUBGROUPS ⋮ On Thompson's conjecture for some finite simple groups. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the Validity of Thompson's Conjecture for Finite Simple Groups

Cites Work

• Prime graph components of finite groups
• A new characterization of the alternating groups
• Involutions in Chevalley groups over fields of even order
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