On compact Just-Non-Lie groups

Francesco Russo; Francesco Russo

On compact Just-Non-Lie groups

Risultato della ricerca: Article › peer review

Abstract

A compact group is called a compact Just-Non-Lie group or a compact JNL group if it is not a Lie group but all of its proper Hausdorff quotient groups are Lie groups. We show that a compact JNL group is profinite and a compact nilpotent JNL group is the additive group of p -adic integers for some prime. Examples show that this fails for compact pronilpotent and solvable groups.

Lingua originale	English
pagine (da-a)	625-632
Numero di pagine	8
Rivista	Journal of Lie Theory
Volume	17
Stato di pubblicazione	Published - 2007

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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UR - http://hdl.handle.net/10447/55668

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