\(^2D_n(3)\) (\(9\leq n=2^m+1\) not a prime) can be characterized by its order components.

DOI10.1007/BF02935810zbMath1078.20016MaRDI QIDQ2574348

Huaguo Shi, Gui-Yun Chen

Publication date: 21 November 2005

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsprime graphsorder components

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 (7)

The main supergraph of finite groups ⋮ Characterization of \(G_2(q)\), where \(2<q\equiv-1\pmod 3\), by order components. ⋮ Characterizability of the group \(^2D_p(3)\) by its order components, where \(p\geq 5\) is a prime number not of the form \(2^m+1\). ⋮ ON THE CHARACTERIZABILITY OF SOME FAMILIES OF FINITE GROUP OF LIE TYPE BY ORDERS AND VANISHING ELEMENT ORDERS ⋮ A characterization of the group \(^2D_n(2)\), where \(n=2m+1\geq 5\). ⋮ Unnamed Item ⋮ On the Validity of Thompson's Conjecture for Finite Simple Groups

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