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arXiv · 1901.10636

On the solvability of regular subgroups in the holomorph of a finite solvable group

Cindy Tsang·Chao Qin
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Abstract

We exhibit infinitely many natural numbers $n$ for which there exists at least one insolvable group of order $n$, and yet the holomorph of any solvable group of order $n$ has no insolvable regular subgroup. We also solve Problem 19.90 (d) in the Kourovka notebook.

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BibTeXRIS

Cindy Tsang, Chao Qin. 2019-01-30. On the solvability of regular subgroups in the holomorph of a finite solvable group. https://doi.org/10.1142/s0218196719500735

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