Recognition of the simple group \(\mathrm{PSL}(2,p^2)\) by character degree graph and order.

DOI10.1007/S00605-014-0678-3zbMath1325.20004OpenAlexW2069169374MaRDI QIDQ500317

Behrooz Khosravi, Zahra Momen, Bahman Khosravi, Behnam Khosravi

Publication date: 2 October 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0678-3

zbMATH Keywords

finite groupsrecognitionorders of groupsprojective special linear groupscharacter degree graphssets of irreducible character degrees

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (7)

A new characterization for some extensions of \(\mathrm{PSL}(2,q)\) for some \(q\) by some character degrees. ⋮ Recognition of \(\mathrm{PSL}(2,2)^a)\) by the orders of vanishing elements ⋮ Recognition of Janko groups and some simple $K_4$-groups by the order and one irreducible character degree or character degree graph ⋮ A new characterization of the automorphism groups of Mathieu groups ⋮ Recognition of PSL(2,p) ×PSL(2,p) by its complex group algebra ⋮ A characterization of linear groups \(L_3(q)\) by their character degree graphs and orders ⋮ Recognition of the simple groups $PSL_2(q)$ by character degree graph and order

Cites Work

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