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 |
|---|---|
| Journal | Journal of the London Mathematical Society |
| Publication status | Submitted - 2025 |
Research Groups and Themes
- Pure Mathematics