Cogrowth of groups and a matrix of Redheffer

DOI10.1016/S0024-3795(96)00593-9zbMath0881.20016MaRDI QIDQ1369348

Stephen P. Humphries

Publication date: 22 February 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

wordspresentationsRiemann hypothesisRedheffer matrixcogrowth functionscogrowth of groupsreduced lengths

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items

Words in linear groups, random walks, automata and P-recursiveness ⋮ The cogrowth series for BS(N, N) is D-finite ⋮ Matrices related to Dirichlet series

Cites Work

• On the spectral radius of a (0,1) matrix related to Mertens' function
• The origin of the theory of group characters
• On some trigonometric diophantine equations of the type
• Trigonometric diophantine equations (On vanishing sums of roots of unity)
• Cogrowth of groups and the Dedekind–Frobenius group determinant
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