### Some articles on *boundedly*:

**Boundedly**Generated Group - Free Groups Are Not

**Boundedly**Generated - Burnside Couterexamples

... if a single finitely generated group with at least two generators is known to be not

**boundedly**generated, this will be true for the free group on the same number of ... enough to produce one example of a finitely generated group which is not

**boundedly**generated, and any finitely generated infinite periodic group will work ... Consequently, free groups of rank at least two are not

**boundedly**generated ...

**Boundedly**Generated Group - Free Groups Are Not

**Boundedly**Generated - Hyperbolic Geometry

... There is also a simple geometric proof that that G = SL2(Z) is not

**boundedly**generated ... elements can similarly be used to prove that any non-elementary Gromov-hyperbolic group is not

**boundedly**generated ...

**Boundedly**Generated Group - Properties

... by passing to a subgroup of finite index if H is a finite index subgroup of G then G is

**boundedly**generated if and only if H is

**boundedly**generated ... Any quotient group of a

**boundedly**generated group is also

**boundedly**generated ... A finitely generated periodic group must be finite if it is

**boundedly**generated equivalently, an infinite finitely generated periodic group is not

**boundedly**generated ...

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