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On the Existence of Group Automorphisms Whose Inverse Is Their Reciprocal

by Richard E. Dowds (State University College in Fredonia NY) and Albert D. Polimeni (State University College in Fredonia NY)

This article originally appeared in:
Mathematics Magazine
March, 1984

Subject classification(s): Algebra and Number Theory | Abstract Algebra | Groups
Applicable Course(s): 4.2 Mod Algebra I & II

The authors investigate instances where the functional inverse coincides with the reciprocal of the function.

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