DOI: 10.1112/blms.13046 ISSN: 0024-6093
A class of rearrangement groups that are not invariably generated
Davide Perego, Matteo TarocchiAbstract
A group is invariably generated if there exists a subset such that, for every choice for , the group is generated by . Gelander, Golan, and Juschenko (J. Algebra 478 (2016), 261–270) showed that Thompson groups and are not invariably generated. Here, we generalize this result to the larger setting of rearrangement groups, proving that any subgroup of a rearrangement group that has a certain transitive property is not invariably generated.