OD-characterization of alternating and symmetric groups of degree \(p+5\).

DOI10.1007/S11401-015-0923-7zbMath1332.20029OpenAlexW2279008503MaRDI QIDQ903479

Hai Jing Xu, Yan Xiong Yan, Gui-Yun Chen

Publication date: 6 January 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-015-0923-7

zbMATH Keywords

symmetric groupsfinite simple groupsalternating groupsprime graphssets of element ordersrecognizable groupsdegree patternsdegrees of verticesOD-characterizable groupsorder components

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Symmetric groups (20B30)

Related Items (1)

OD-characterization of alternating groups \(A_{p+d}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Groups with the same order and degree pattern.
• Characterization of the finite simple groups by spectrum and order.
• Recognizing alternating groups \(A_{p+3}\) for certain primes \(p\) by their orders and degree patterns.
• OD-characterization of almost simple groups related to \(U_6(2)\).
• Simple groups which are 2-fold OD-characterizable.
• OD-characterization of the automorphism groups of \(O^\pm_{10}(2)\).
• OD-characterization of alternating and symmetric groups of degrees 16 and 22.
• Prime graph components of finite groups
• Recognition of finite simple groups whose first prime graph components are \(r\)-regular.
• OD-characterization of almost simple groups related to \(U_3(5)\).
• Finite simple groups with narrow prime spectrum.
• OD-characterization of all simple groups whose orders are less than \(10^8\).
• OD-characterization of the automorphism groups of simple \(K_3\)-groups.
• Finite Groups in Which Every Element Has Prime Power Order
• Recognizing Finite Groups Through Order and Degree Pattern
• OD-Characterization of Simple K₄-Groups
• OD-Characterization of Certain Finite Groups Having Connected Prime Graphs
• A Characterization of Finite Simple Groups by the Degrees of Vertices of Their Prime Graphs
• CHARACTERIZATION OF THE PROJECTIVE GENERAL LINEAR GROUPS PGL(2,q) BY THEIR ORDERS AND DEGREE PATTERNS

This page was built for publication: OD-characterization of alternating and symmetric groups of degree \(p+5\).