Characterizability of the group \(^2D_p(3)\) by its order components, where \(p\geq 5\) is a prime number not of the form \(2^m+1\).

DOI10.1007/S10114-007-6143-7zbMath1157.20005OpenAlexW1998675419MaRDI QIDQ943551

Mohammad-Reza Darafsheh

Publication date: 9 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10114-007-6143-7

zbMATH Keywords

finite simple groupsThompson conjectureprime graphssets of element ordersrecognizable groupsorder components

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (8)

The main supergraph of finite groups ⋮ Characterization of \(G_2(q)\), where \(2<q\equiv-1\pmod 3\), by order components. ⋮ OD-characterization of almost simple groups related to \(U_3(5)\). ⋮ ON THE CHARACTERIZABILITY OF SOME FAMILIES OF FINITE GROUP OF LIE TYPE BY ORDERS AND VANISHING ELEMENT ORDERS ⋮ Groups with the same non-commuting graph. ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(r\)-recognizability of \(B_n(q)\) and \(C_n(q)\) where \(n=2^m\geqslant 4\).
• Prime graph components of finite groups
• A new characterization of some alternating and symmetric groups.
• A characterization of \(\text{PSL}(3,q)\) where \(q\) is an odd prime power
• A new characterization of alternating and symmetric groups.
• The number of isomorphism classes of finite groups with the set of order components of \(C_4(q)\).
• On Thompson's conjecture
• A characterization of \(\text{PSL}(3,q)\) for \(q=2^m\)
• A characterization of \(\text{PSU}_3(q)\) for \(q>5\)
• A new characterization of sporadic simple groups
• \(^2D_n(3)\) (\(9\leq n=2^m+1\) not a prime) can be characterized by its order components.
• A New Characterization ofPSL(p,q)
• ON NON-ISOMORPHIC GROUPS WITH THE SAME SET OF ORDER COMPONENTS

This page was built for publication: Characterizability of the group \(^2D_p(3)\) by its order components, where \(p\geq 5\) is a prime number not of the form \(2^m+1\).