Abstract
A Hall subgroup H of a finite group G is a subgroup whose order is relatively prime to its index. We show that if H is solvable and if the way prime power elements of H are conjugate in G is restricted, then G has a quotient isomorphic to H. Suppose H is a Hall subgroup of G.
| Original language | English |
|---|---|
| Pages (from-to) | 241-243 |
| Number of pages | 3 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 27 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 1971 |
Keywords
- C-closed
- Fusion
- Normal complement
- Prime power
- Quotient group
- Solvable hall subgroup finite group
- Transfer
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