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arxiv: 1512.01262 · v3 · pith:4KJEXNN6new · submitted 2015-12-03 · 🧮 math.QA · math.KT

An explicit description of the second cohomology group of a quandle

classification 🧮 math.QA math.KT
keywords cohomologydescriptionexplicitgroupabelianapplicationscocyclesetingof
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We use the inflation-restriction sequence and a result of Etingof and Gra\~na on the rack cohomology to give a explicit description of 2-cocycles of finite indecomposable quandles with values in an abelian group. Several applications are given.

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