6533b855fe1ef96bd12b0665
RESEARCH PRODUCT
Notes on the average number of Sylow subgroups of finite groups
Alexander MoretóWei MengJiakuan LuKaisun Wusubject
Finite groupPure mathematicsOrdinary differential equation010102 general mathematicsSylow theorems0101 mathematics01 natural sciencesMathematicsdescription
We show that if the average number of (nonnormal) Sylow subgroups of a finite group is less than $${{29} \over 4}$$ then G is solvable or G/F(G) ≌ A5. This generalizes an earlier result by the third author.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-03-19 | Czechoslovak Mathematical Journal |