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RESEARCH PRODUCT

On compact Just-Non-Lie groups

Francesco G. Russo

subject

Settore MAT/02 - AlgebraSettore MAT/03 - Geometriacompact Just-Non-Lie groups centerfree compact groups

description

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.

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