INTERPLAY BETWEEN THE ALGEBRAIC STRUCTURE OF A GROUP AND ARITHMETIC PROPERTIES OF ITS SPECTRUM

DOI10.1142/S0218196704001645zbMath1063.20032MaRDI QIDQ4464179

Taras Banakh

Publication date: 27 May 2004

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

free semigroupspolycyclic groupssolvable groupsspectra of groupsvirtually nilpotent groupsspectra of automorphismscollapsing groupsHirsch rankeigenvalues of group automorphismsreverse properties of groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Local properties of groups (20E25)

Cites Work

• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Almost finitely presented soluble groups
• (Metrically) quarter-stratifiable spaces and their applications to the theory of separately continuous functions
• On the asymptotic geometry of Abelian-by-cyclic groups
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