Abstract
Let G be a finite group and K a normal subset consisting of odd-order elements. The rational closure of K, denoted DK, is the set of all elements x in G with the property
that ⟨x⟩ = ⟨y⟩ for some y in K. If K2 is contained in DK, we prove that ⟨K⟩ is soluble.
that ⟨x⟩ = ⟨y⟩ for some y in K. If K2 is contained in DK, we prove that ⟨K⟩ is soluble.
| Original language | English |
|---|---|
| Article number | e70534 |
| Journal | Journal of the London Mathematical Society |
| Volume | 113 |
| Issue number | 4 |
| Early online date | 6 Apr 2026 |
| DOIs | |
| Publication status | E-pub ahead of print - 6 Apr 2026 |
Bibliographical note
Publisher Copyright:© 2026 The Author(s). Journal of the London Mathematical Society is copyright © London Mathematical Society.
Research Groups and Themes
- Pure Mathematics
Fingerprint
Dive into the research topics of 'Expansion of normal subsets of odd-order elements in finite groups'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver