TY: JOUR
T1 - Inverse semigroups with idempotent-fixing automorphisms
A1 - Araśjo, Joćo
A1 - Kinyon, Michael
N2 - A 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.
UR - http://repositorioaberto.uab.pt/handle/10400.2/3783
Y1 - 2014
PB - http://link.springer.com/article/10.1007/s00233-014-9585-0