Finite 4-primary groups with disconnected Gruenberg-Kegel graph containing a triangle

DOI10.1007/s10469-023-09724-zOpenAlexW4390572413MaRDI QIDQ6138059

Anatoli Kondrat'ev

Publication date: 16 January 2024

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-023-09724-z

zbMATH Keywords

finite groupBrauer characterchief factorGruenberg-Kegel graph (prime graph)4-primary group

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX) Group theory and generalizations (20-XX)

Cites Work

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• Finite groups with given properties of their prime graphs
• Fixed points of large prime-order elements in the equicharacteristic action of linear and unitary groups.
• Unrecognizability by spectrum for the finite simple group \(^3D_4(2)\).
• Prime graph components of finite groups
• The set of orders of elements in a finite group
• A note on groups in which the centralizer of every element of order 5 is a 5-group.
• On finite non-solvable groups whose Gruenberg-Kegel graphs are isomorphic to the paw
• Finite almost simple groups whose Gruenberg-Kegel graphs as abstract graphs are isomorphic to subgraphs of the Gruenberg-Kegel graph of the alternating group \(A_{10}\)
• Lectures on Chevalley Groups

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