A criterion of unrecognizability by spectrum for finite groups.

DOI10.1007/S10469-012-9179-4zbMath1255.20029OpenAlexW2085374952MaRDI QIDQ694246

Wujie Shi, Victor D. Mazurov

Publication date: 11 December 2012

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

Full work available at URL: https://doi.org/10.1007/s10469-012-9179-4

zbMATH Keywords

finite groupssets of element ordersspectra of groupsisospectral groupssoluble normal subgroupsunrecognizability

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)

Related Items (13)

Finite simple groups that are not spectrum critical ⋮ Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ Unnamed Item ⋮ On finite groups isospectral to \(U_3(3)\) ⋮ Finite groups isospectral to simple groups ⋮ Generation of a finite group with Hall maximal subgroups by a pair of conjugate elements. ⋮ Finite groups with arithmetic restrictions on maximal subgroups. ⋮ On finite groups isospectral to the simple group \(S_4(3)\) ⋮ On finite groups isospectral to the simple groups \(S_4(q)\) ⋮ Properties of finite and periodic groups determined by their element orders (a survey) ⋮ The group J4 × J4 is recognizable by spectrum ⋮ Groups critical with respect to the spectra of alternating and sporadic groups. ⋮ 2-Frobenius groups isospectral to the simple group \(U_3(3)\).

Cites Work

• Unnamed Item
• The set of orders of elements in a finite group
• Spectra of finite symplectic and orthogonal groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem

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