The finite groups of cube-free order.

DOI10.1016/j.jalgebra.2011.02.040zbMath1234.20027OpenAlexW2047983943MaRDI QIDQ652172

Cai Heng Li, ShouHong Qiao

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.040

zbMATH Keywords

soluble groupsfinite groupssemidirect productgroups of cube-free orderinsoluble groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34)

Related Items

On symmetric graphs of order four times an odd square-free integer and valency seven ⋮ Edge-transitive regular metacyclic covers of the Petersen graph ⋮ The automorphism groups of groups of order $p^{2} q$ ⋮ There exist no arc-regular prime-valent graphs of order four times an odd square-free integer ⋮ Applications of group theory to conjectures of Artin and Langlands ⋮ Pentavalent arc-transitive graphs of order \(2p^{2}q\) ⋮ Isomorphism testing of groups of cube-free order ⋮ The prime graphs of some classes of finite groups

Uses Software

• Cubefree

Cites Work

• Unnamed Item
• Finite soluble groups
• The primitive soluble permutation groups of degree less than 256
• On the groups of cube-free order.
• The Subgroups of PSL(3, q) for odd q
• Endliche Gruppen I