RT Journal Article
T1 Centralizers in pseudo-finite groups
A1 Hempel, Nadja
A1 Palacín Cruz, Daniel
AB The role of finite centralizers of involutions in pseudo-finite groups is analyzed. It is shown that a pseudo-finite group admitting a definable involutory automorphism fixing only finitely many elements is finite-by-abelian-by-finite. As a consequence, we give a model-theoretic proof of a result for periodic groups due to Hartley and Meixner. Furthermore, it is shown that any pseudo-finite group has an infinite abelian subgroup.
PB Elsevier
SN 0021-8693
YR 2021
FD 2021-03
LK https://hdl.handle.net/20.500.14352/98546
UL https://hdl.handle.net/20.500.14352/98546
LA eng
NO Hempel, N.; Palacín, D. Centralizers in pseudo-finite groups. Journal of Algebra 2021, 569, 258–275. doi:10.1016/j.jalgebra.2020.11.004.
DS Docta Complutense
RD 6 abr 2025