Higman's function

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Definition

Higman's function h is a function from the set of prime numbers to the set of natural numbers, defined as follows. For a prime p, h(p) is the maximum possible nilpotency class of a p-group of prime power order that admits a fixed point-free automorphism.

References

  • Groups and rings having automorphisms without nontrivial fixed elements by Graham Higman, Journal of the London Mathematical Society (2), 1957, 321-334More info