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arXiv · 2610.01312

Finite abelian groups are Schur multipliers of finite solvable groups

Derek F. Holt
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Abstract

We prove that every finite abelian group arises as the Schur multiplier of a finite solvable group, from which it can be deduced that every finite abelian group is the knot group of some extension of number fields.

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Derek F. Holt. 2026-10-01. Finite abelian groups are Schur multipliers of finite solvable groups. https://arxiv.org/abs/2610.01312

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