Enumerating fibres of commutator words over p-groups

2016/02/12 by Matthew Levy, Levy, Matthew
Computer Science · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1602.04093

arxiv created 2016/02/12 · openalex publication_date 2016/02/12 · arxiv updated 2016/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We enumerate the fibres of commutator word maps over p-groups of nilpotency class less than p with exponent p. We also give some examples and enumerate the fibre sizes of all word maps over p-groups of class 2 with exponent p.

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