Araújo, JoãoKinyon, Michael2015-03-202015-03-202014Araújo, João; Kinyon, Michael - Inverse semigroups with idempotent-fixing automorphisms. "Semigroup Forum" [Em linha]. ISSN 0037-1912 (Print) 1432-2137 (Online). Vol. 89, nº 2 (2014), p. 1-60037-19121432-2137http://hdl.handle.net/10400.2/3783A celebrated result of J. Thompson says that if a finite group G has a fixedpoint-free automorphism of prime order, then G is nilpotent. The main purpose of this note is to extend this result to finite inverse semigroups. An earlier related result of B. H. Neumann says that a uniquely 2-divisible group with a fixed-point-free automorphism of order 2 is abelian. We similarly extend this result to uniquely 2-divisible inverse semigroups.engInverse semigroupAutomorphism groupjournal article10.1007/s00233-014-9585-0