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Groups with All Subgroups Pronormal-by-Finite

✍ Scribed by Francesco de Giovanni; Alessio Russo; Giovanni Vincenzi


Publisher
SP Birkhäuser Verlag Basel
Year
2007
Tongue
English
Weight
120 KB
Volume
4
Category
Article
ISSN
1660-5446

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📜 SIMILAR VOLUMES


Locally Finite Groups with All Subgroups
✍ E.I Khukhro; H Smith 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 194 KB

A group is said to have finite special rank F s if all of its finitely generated subgroups can be generated by s elements. Let G be a locally finite group and suppose that HrH has finite rank for all subgroups H of G, where H denotes the normal core of H in G. We prove that then G has an abelian no