2-Frobenius groups isospectral to the simple group \(U_3(3)\).

DOI10.1134/S0037446615060154zbMath1342.20027MaRDI QIDQ259846

Victor D. Mazurov

Publication date: 18 March 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Frobenius groupssets of element ordersisospectral groupsrecognizable groupssimple unitary groupsspectra of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

On finite groups isospectral to \(U_3(3)\), Finite groups isospectral to simple groups, On finite groups isospectral to the simple group \(S_4(3)\)

Uses Software

• GAP

Cites Work

• Unnamed Item
• On finite groups with disconnected prime graph.
• A solvable group isospectral to \(S_4(3)\).
• A criterion of unrecognizability by spectrum for finite groups.
• Prime graph components of finite groups
• On finite simple groups with the set of element orders as in a Frobenius group or a double Frobenius group.
• Insolubility of finite groups which are isospectral to the alternating group of degree 10.
• Groups with complete prime graph connected components