On the exponent of a finite group admitting a fixed-point-free four-group of automorphisms

zbMath1294.20029arXiv1101.5367MaRDI QIDQ5418430

Emanuela Romano, P. V. Shumyatskij

Publication date: 3 June 2014

Full work available at URL: https://arxiv.org/abs/1101.5367

zbMATH Keywords

dihedral groupsfixed-point-free automorphismsassociated Lie ringsfixed-point subgroupsfour-groups of automorphismsLie ring methodsexponents of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Associated Lie structures for groups (20F40)

Related Items (2)

On locally finite groups with a small centralizer of a four-subgroup. ⋮ Exponent of a finite group with a fixed-point-free four-group of automorphisms.

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