International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 190830, 8 pages
doi:10.1155/2010/190830

A Survey on Just-Non-𝔛 Groups

Daniele Ettore Otera1 and Francesco G. Russo2

1Dipartimento di Matematica, Università di Palermo, Via Archirafi 34, 90123, Palermo, Italy
2Dipartimento di Matematica e Applicazioni “R.Caccioppoli”, Università di Napoli “Federico II”, via Cinzia 80126, Napoli, Italy

Abstract

Let 𝔛 be a class of groups. A group which does not belong to 𝔛 but all of whose proper quotient groups belong to 𝔛 is called just-non-𝔛 group. The present note is a survey of recent results on the topic with a special attention to topological groups.