New posts in Sylow Theory

Groups of order 24.

Prove that a non-abelian group of order $pq$ ($p<q$) has a nonnormal subgroup of index $q$

Prove that $n_p(N)$ divides $n_p(G)$

How many elements of order 7 in a simple group of order 168?

If H is a subgroup of G, then H has no more Sylow subgroups than G

Group of order $1575$ having a normal sylow $3$ subgroup is abelian.

Sylow $p$-subgroup of a direct product is product of Sylow $p$-subgroups of factors

Classification of groups of order 30

Decomposition of finitely-generated abelian group

How to understand the automorphism group of a very symmetric graph (related to sylow intersections)