On alternating and symmetric groups which are quasi OD-characterizable

DOI10.1142/S0219498817500657zbMath1431.20012arXiv1504.00273MaRDI QIDQ2988758

Ali Reza Moghaddamfar

Publication date: 19 May 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00273

zbMATH Keywords

spectrumsymmetric groupalternating groupsubdirect productprime graphdegree patternsplit extensionOD-characterization

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Symmetric groups (20B30)

Related Items (2)

OD-characterization of some simple unitary groups ⋮ Several quantitative characterizations of some specific groups

Cites Work

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• On nonabelian simple groups having the same prime graph as an alternating group.
• Groups with the same order and degree pattern.
• OD-characterization of alternating and symmetric groups of degrees 16 and 22.
• Prime graph components of finite groups
• On characterization by order and prime graph for alternating groups.
• Finite simple groups with narrow prime spectrum.
• 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
• The Crystallographic Restriction, Permutations, and Goldbach's Conjecture
• A Characterization of Finite Simple Groups by the Degrees of Vertices of Their Prime Graphs

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