Question

Q: Which of the following group has exactly one Sylow p-subgroup?​

Answer 1

If P is a Sylow p-subgroup of G and Q is any p-subgroup of G, then there exists g∈G such that Q is a subgroup of gPg−1. In particular, any two Sylow p-subgroups of G are conjugate in G. np≡1(modp). That is, np=pk+1 for some k∈Z.

$\huge\colorbox{yellow}{YellowVine❤}$

Answer 2

Answer:

tiisetirisidrititiristidisrisfi