Cogrowth of groups and the Dedekind–Frobenius group determinant

DOI10.1017/S030500419600134XzbMath0895.20026MaRDI QIDQ4351104

Stephen P. Humphries

Publication date: 15 July 1998

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

zbMATH Keywords

Abelian groupsfree groupsgroup determinantscogrowth functionscogrowth of presentationsfreely reduced wordstrigonometric Diophantine equations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

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Generalised Cogrowth series, random walks, and the group determinant, Cogrowth of groups and a matrix of Redheffer, Words in linear groups, random walks, automata and P-recursiveness, The cogrowth series for BS(N, N) is D-finite