2020年3月
On the solvability of regular subgroups in the holomorph of a finite solvable group
International Journal of Algebra and Computation
- ,
- 巻
- 30
- 号
- 02
- 開始ページ
- 253
- 終了ページ
- 265
- 記述言語
- 英語
- 掲載種別
- 研究論文（学術雑誌）
- DOI
- 10.1142/s0218196719500735, 10.48550/arXiv.1901.1063
- 出版者・発行元
- World Scientific Pub Co Pte Lt
We exhibit infinitely many natural numbers [Formula: see text] for which there exists at least one insolvable group of order [Formula: see text], and yet the holomorph of every solvable group of order [Formula: see text] has no insolvable regular subgroup. We also solve Problem 19.90(d) in the Kourovka notebook.
- リンク情報
- ID情報
-
- DOI : 10.1142/s0218196719500735
- DOI : 10.48550/arXiv.1901.1063
- ISSN : 0218-1967
- eISSN : 1793-6500