A characterization of projective special unitary group \(U_3(5)\) by nse.

DOI10.1016/j.ajmsc.2013.05.004zbMath1304.20021OpenAlexW1987719601MaRDI QIDQ465012

Shitian Liu

Publication date: 30 October 2014

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2013.05.004

zbMATH Keywords

nsefinite simple groupssets of element orderscharacterizable groupssets of numbers of elements of equal ordersprojective special unitary groupsThompson problem

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

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Cites Work

• A new characterization for some linear groups.
• A new characterization of \(A_5\).
• A new characterization of \(A_{12}\).
• Characterization of simple \(K_4\)-groups.
• On finite simple groups of order divisible by three primes only
• A CHARACTERIZATION OF SPORADIC SIMPLE GROUPS BY NSE AND ORDER
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