A new characterization of the alternating groups

zbMath0790.20030MaRDI QIDQ1196593

Wujie Shi, Jianxing Bi

Publication date: 16 January 1993

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsalternating groupssets of orders of elements

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (16)

Unnamed Item ⋮ OD-characterization of alternating groups \(A_{p+d}\) ⋮ A new characterization of simple \(K_5\)-groups of type \(L_3(p)\) ⋮ A characterization ofL n (q) by the normalizers' orders of their sylow subgroups ⋮ Characterization of the finite simple groups by spectrum and order. ⋮ A variation of Thompson's conjecture for the symmetric groups ⋮ Pure quantitative characterization of finite simple groups. ⋮ On the prime graph of \(\text{PSL}(2,p)\) where \(p>3\) is a prime number. ⋮ Characterizability of \(\text{PSU}(p+1,q)\) by its order component(s). ⋮ Characterization of automorphism groups of sporadic simple groups. ⋮ A new characterization of alternating and symmetric groups. ⋮ \(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\). ⋮ Characterization of finite simple group \(D_n(2)\). ⋮ A new characterization of \(A_5\). ⋮ OD-characterization of all simple groups whose orders are less than \(10^8\). ⋮ A characterization of \(\text{PSL}(3,q)\) where \(q\) is an odd prime power

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