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arxiv: 1609.04975 · v1 · pith:SW5HD6RYnew · submitted 2016-09-16 · 🧮 math.CO

Asymptotics of Symmetry in Matroids

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keywords automorphismgroupmatroidsalmostasymptoticallytrivialadditionallyasymptotics
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We prove that asymptotically almost all matroids have a trivial automorphism group, or an automorphism group generated by a single transposition. Additionally, we show that asymptotically almost all sparse paving matroids have a trivial automorphism group.

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