On finite simple linear and unitary groups of small size over fields of different characteristics with coinciding prime graphs

DOI10.1134/S0081543819070150zbMath1454.20022OpenAlexW3014016544MaRDI QIDQ2185652

M. R. Zinov'eva

Publication date: 5 June 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543819070150

zbMATH Keywords

spectrumprime graphfinite simple group of Lie typeGruenberg-Kegel graph

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 (1)

On finite simple groups of exceptional Lie type over fields of different characteristics with coinciding prime graphs

Cites Work

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• On nonabelian simple groups having the same prime graph as an alternating group.
• Cocliques of maximal size in the prime graph of a finite simple group
• Prime graph components of finite groups
• A Diophantine equation which arises in the theory of finite groups
• Finite simple groups with narrow prime spectrum.
• An Adjacency Criterion for the Prime Graph of a Finite Simple Group
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• The Prime Graph of a Sporadic Simple Group
• Recognition of the simple groups L3(q) by element orders

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