Sylow TI-subgroup

Definition
A subgroup of a finite group is termed a Sylow TI-subgroup or a TI Sylow subgroup if it satisfies the following conditions:


 * It is a Sylow subgroup: Its order is a power of a prime $$p$$ and the index is relatively prime to $$p$$.
 * It is a TI-subgroup: Its intersection with any distinct conjugate subgroup is trivial.

Stronger properties

 * Weaker than::Normal Sylow subgroup

Weaker properties

 * Stronger than::Sylow CDIN-subgroup: