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Questions about the branch of algebra that deals with groups.

0 votes

Examples of amenable groups other than finite groups

Solvable and locally finite are elementary, I guess those of subexponential growth are, too. E.g. a solvable group is one that can be constructed from abelian groups using extensions. But now I see …
2 votes

Examples of amenable groups other than finite groups

Elementary amenable groups: the smallest class of groups which includes finite groups and commutative groups, and is closed under formation of homomorphic images, subgroups, group extensions (by an ot …