Some products of subgroups and vanishing conjugacy class sizes

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Authors

Ballester-Bolinches, Adolfo
Esteban-Romero, Ramon
Pedraza-Aguilera, Maria C.

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Publisher

Cambridge University Press

Abstract

In this note, we investigate some products of subgroups and vanishing conjugacy class sizes of finite groups. We prove some supersolubility criteria for groups with restrictions on the vanishing conjugacy class sizes of their subgroups.

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Keywords

Supersoluble groups, Vanishing conjugacy class sizes, Mutually permutable products

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Citation

Ballester-Bolinches, A., Esteban-Romero, R., Madanha, S.Y. & Pedraza-Aguilera, M.C. (2023). Some products of subgroups and vanishing conjugacy class sizes. Bulletin of the Australian Mathematical Society, 107(2), 271-275. doi:10.1017/S000497272200065X.