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Abelian profinite groups

100%

Krupiński K.

Fundamenta Mathematicae

2005

tom 185

nr 1

41-59

Around Podewski's conjecture

51%

Krupiński K., Tanović P., Wagner F.

Fundamenta Mathematicae

2013

tom 222

nr 2

175-193

A long-standing conjecture of Podewski states that every minimal field is algebraically closed. Known in positive characteristic, it remains wide open in characteristic zero. We reduce Podewski's conjecture to the (partially) ordered case, and we conjecture that such fields do not exist. We prove the conjecture in case the incomparability relation is transitive (the almost linear case). We also study minimal groups with a (partial) order, and give a complete classification of almost linear minimal groups as certain valued groups.

Ograniczanie wyników

2 Fundamenta Mathematicae

2 Krupiński K.

1 Tanović P.

1 Wagner F.

1 2013

1 2005

Wyniki wyszukiwania

Abelian profinite groups

Around Podewski's conjecture