A New Characterization of Simple K3-Groups and Some L2(p)

DOI10.1142/S1005386713000333zbMath1279.20023OpenAlexW2043742768MaRDI QIDQ2854023

Wujie Shi, Qingliang Zhang

Publication date: 17 October 2013

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386713000333

zbMATH Keywords

finite simple groupsnumbers of elementsprime graphssets of element ordersrecognizable groupsorder componentsgroup ordersmaximal orders of elements

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 (2)

Unnamed Item ⋮ A new characterization of simple \(K_5\)-groups of type \(L_3(p)\)

Cites Work

• Characterization of the finite simple groups by spectrum and order.
• Prime graph components of finite groups
• A Diophantine equation which arises in the theory of finite groups
• Pure quantitative characterization of finite simple groups.
• On finite simple groups of order divisible by three primes only
• The characterization of finite groups with abelian Sylow 2-subgroups
• NOTES ON FINITE SIMPLE GROUPS WHOSE ORDERS HAVE THREE OR FOUR PRIME DIVISORS

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