Boundedly Generated Group
In mathematics, a group is called boundedly generated if it can be expressed as a finite product of cyclic subgroups. The property of bounded generation is also closely related with the congruence subgroup problem (see Lubotzky & Segal 2003).
Read more about Boundedly Generated Group: Definitions, Properties, Examples, Free Groups Are Not Boundedly Generated
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... on the Gromov boundary of a Gromov-hyperbolic group ... For the special case of the free group Fn, the boundary (or space of ends) can be identified with the space X of semi-infinite reduced words g1 g2 ยทยทยท in the generators and their inverses ... The free group acts by left multiplication on the semi-infinite words ...
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