Generalised Cogrowth series, random walks, and the group determinant

DOI10.1017/S0305004117000573zbMath1499.20112OpenAlexW2744126445MaRDI QIDQ4555841

Stephen P. Humphries

Publication date: 23 November 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004117000573

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Probabilistic methods in group theory (20P05)

Uses Software

• Magma

Cites Work

• A new approach to representation theory of symmetric groups
• Cogrowth of groups and simple random walks
• Hilbert functions of graded algebras
• Computing bases for rings of permutation-invariant polynomials
• On nilalgebras and linear varieties of nilpotent matrices. III
• Zur Theorie der einfach transitiven Permutationsgruppen. II
• Invariants of finite groups and their applications to combinatorics
• On the group determinant
• The Group Determinant Determines the Group
• A Group Determinant Determines Its Group
• On rationality of the cogrowth series
• Cogrowth of groups and the Dedekind–Frobenius group determinant
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item