Metabelian $p$-groups which contain a self-centralizing element
نویسندگان
چکیده
منابع مشابه
On Groups which contain no HNN-Extensions
A group is called HNN-free if it has no subgroups that are nontrivial HNN-extensions. 23 We prove that finitely generated HNN-free implies virtually polycyclic for a large class of groups. We also consider finitely generated groups with no free subsemigroups of rank 2 25 and show that in many situations such groups are virtually nilpotent. Finally, as an application of our results, we determine...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1970
ISSN: 0019-2082
DOI: 10.1215/ijm/1256052958