2 problems

Let $G$ and $S$ be finite groups. Write $\operatorname{Cent}(G)$ for the set of centralizers of elements of $G$, and similarly for $S$. Two groups are isoclinic when there are isom…

Isoclinism-invariance conjecture. The multiset of group isoclinism types of a central decomposition of maximum possible size is a group isoclinism invariant for $p$-groups of class…