Proves that if elements in the centralizer and G_{-phi} lie in phi-invariant subgroups of bounded exponent or with nilpotency and solubility conditions, then the exponent of G or [G, phi] is bounded in terms of the given parameters e, n, c, d.
Hartley, Periodic locally soluble groups containing an element of p rime order with ˇCernikov centralizer, Quart
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Exponent of a finite group admitting a coprime automorphism
Proves that if elements in the centralizer and G_{-phi} lie in phi-invariant subgroups of bounded exponent or with nilpotency and solubility conditions, then the exponent of G or [G, phi] is bounded in terms of the given parameters e, n, c, d.