Automorphic word maps and the Amit-Ashurst conjecture

DOI10.1515/jgth-2023-0151zbMath1548.20055MaRDI QIDQ6611931

Amit Kulshrestha, Harish Kishnani

Publication date: 27 September 2024

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

probability functionword mapfinite nilpotent group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Finite nilpotent groups, (p)-groups (20D15) Probabilistic methods in group theory (20P05)

Cites Work

• Unnamed Item
• Die Isomorphismengruppe der freien Gruppen.
• Two characterizations of finite nilpotent groups
• The probability distribution of word maps on finite groups
• Word problems for finite nilpotent groups
• Words and characters in finite \(p\)-groups
• CHARACTERS AND SOLUTIONS TO EQUATIONS IN FINITE GROUPS
• On the symmetry of images of word maps in groups
• Measure preserving words are primitive
• The Amit-Ashurst conjecture for finite metacyclic \(p\)-groups

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