Remark on the Second Bounded Cohomology of Amalgamated Product of Groups
Copyright policy )Remark on the Second Bounded Cohomology of Amalgamated Product of Groups
For any cardinal number ${\mathcal M}$ we construct examples of amalgamated products and HNN extensions of groups such that the dimension of the space of second bounded cohomologies is at least ${\mathcal M}$. Also we describe the space of pseudocharacters of the group $GL(2,F_2[z]).$ 2000 Mathematics Subject Classification. Primary: 20M15, 20M30, 39B82
Representation theory for linear algebraic groups, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, bounded cohomology groups, pseudocharacters, Representation of semigroups; actions of semigroups on sets, Mappings of semigroups, Stability, separation, extension, and related topics for functional equations, amalgamated products, Cohomology of groups, HNN extensions
Representation theory for linear algebraic groups, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, bounded cohomology groups, pseudocharacters, Representation of semigroups; actions of semigroups on sets, Mappings of semigroups, Stability, separation, extension, and related topics for functional equations, amalgamated products, Cohomology of groups, HNN extensions
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