Recall that a group G is said:
1) Sylow $\pi$-connected if the Sylow $\pi$-subgroups of G are conjugates in G.
2) Sylow $\pi$-integrated if every subgroup of G is Sylow $\pi$-connected.
3) Completely Sylow integrated if G is Sylow $\pi$-integrated for every set of primes $\pi$.
Now i found in some work (for example in Dixon or Hartley) that:
1) ''For by a well known theorem of P. Hall, a finite completely Sylow integrated group is soluble...''
2) ''...and so an arbitrary completely Sylow integrated group is locally soluble''.
I don't found nowhere a proof for 1); for 2) i must consider a finitely generated (and no necessarily finite) subgroup of a completely Sylow integrated group for proof the locally solubility? (pheraps G is assumed locally finite?)
Help me, please.