Journal of Group Theory 21(1) 101-105 2018年1月 [査読有り]
In this note, we show that an uncountable locally free group G, and therefore every locally free group, has a free subgroup whose cardinality is the same as that of G. This result directly improves the main result in [4] and establishes the primit...
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 21(3) 409-431 2011年5月 [査読有り]
We prove that every group ring of a non-abelian locally free group which is the union of an ascending sequence of free groups is primitive. In particular, every group ring of a countable non-abelian locally free group is primitive. In addition, by...
We prove that every group ring of a proper ascending HNN extension of a free group with at most countably infinite rank is primitive. (c) 2007 Elsevier Inc. All rights reserved.