Groups with the same order and degree pattern.

DOI10.1007/S11425-011-4314-6zbMath1252.20010OpenAlexW2001266008MaRDI QIDQ424304

Ali Reza Moghaddamfar, Roya Kogani-Moghaddam

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4314-6

zbMATH Keywords

symmetric groupsfinite groupsalternating groupsprime graphssets of element ordersdegree patternsorder componentsOD-characterizability

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 (14)

OD-characterization of some simple unitary groups ⋮ OD-characterization of alternating groups \(A_{p+d}\) ⋮ A new characterization of alternating groups with nonconnected prime graphs ⋮ OD-characterization of alternating and symmetric groups of degree \(p+5\). ⋮ On alternating and symmetric groups which are quasi OD-characterizable ⋮ RECOGNIZING BY ORDER AND DEGREE PATTERN OF SOME PROJECTIVE SPECIAL LINEAR GROUPS ⋮ OD-characterization of certain four dimensional linear groups with related results concerning degree patterns. ⋮ An OD-Characterizable Class of Simple Groups ⋮ On some Frobenius groups with the same prime graph as the almost simple group PGL(2,49) ⋮ Some notes on commutators of the fractional maximal function on variable Lebesgue spaces ⋮ Unnamed Item ⋮ OD-Characterization of Some Projective Special Linear Groups Over the Binary Field and Their Automorphism Groups ⋮ On characterization by order and prime graph for alternating groups. ⋮ Several quantitative characterizations of some specific groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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 alternating and symmetric groups of degrees 16 and 22.
• Prime graph components of finite groups
• The set of orders of elements in a finite group
• Recognition of alternating groups of prime degree from their element orders
• Prime graph components of finite almost simple groups
• 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 \(10^8\).
• A Characterization of Some Finite Simple Groups Through Their Orders and Degree Patterns
• More on the OD-Characterizability of a Finite Group
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• Recognizing Finite Groups Through Order and Degree Pattern
• OD-Characterization of Simple K₄-Groups
• OD-Characterization of Certain Finite Groups Having Connected Prime Graphs
• Groups with complete prime graph connected components
• Recognition of finite groups by the prime graph
• 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: Groups with the same order and degree pattern.