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arXiv 1702.06043math.LOmath.COmath.GR
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具有局部模齐性预几何的群是交换的

Groups with Locally Modular Homogeneous Pregeometries are Commutative

Levon Haykazyan

摘要:

众所周知,强极小群是交换的。对于强最小性的各种概括,这是否正确已经在几个不同的环境中被问及(参见Hyttinen [2002],Maesono [2007],Pillay and Tanović [2011])。在这篇注记中,我们证明了对于具有局部模齐性预几何的群,答案是肯定的。

英文摘要:

It is well known that strongly minimal groups are commutative. Whether this is true for various generalisations of strong minimality has been asked in several different settings (see Hyttinen [2002], Maesono [2007], Pillay and Tanović [2011]). In this note we show that the answer is positive for groups with locally modular homogeneous pregeometries.

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