Minimal Permutation Representations of Nilpotent Groups

DOI10.1080/10586458.2010.10129066zbMath1188.20001arXiv0705.4122OpenAlexW2032949675MaRDI QIDQ3550687

Ben Elias, Lior Silberman, Ramin Takloo-Bighash

Publication date: 1 April 2010

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.4122

zbMATH Keywords

finite groupsnilpotent groupslatticesorbit sizesminimal permutation representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Subgroups of symmetric groups (20B35)

Related Items (3)

On exceptional groups of order \(p^5\) ⋮ Minimal permutation representations of semidirect products of groups. ⋮ Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups

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