Groups that are the union of a finite number of double cosets.

zbMath1136.20023MaRDI QIDQ997563

Enrico Jabara

Publication date: 7 August 2007

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108701

zbMATH Keywords

subgroups of finite indexhyperbolic groupspolycyclic groupsresidually finite groupsvirtually nilpotent groupsunions of finitely many double cosets

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26)

Cites Work

• Integral group rings of polycyclic-by-finite groups
• Double coset decomposition of groups
• Hyperbolic groups and their quotients of bounded exponents
• On quasiconvex subgroups of word hyperbolic groups
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