Let $G$ be a finite group. It is known that for every $P,S$ in $\operatorname{Syl}_p(G)$ (i.e the set of all Sylow subgroups of $G$) we have $P\cap S=1$.
What can we say about $G$? Maybe there are another interesting properties of $G$?
2026-03-25 01:16:21.1774401381
A finite group with trivial intersection of arbitrary different Sylow $p$-subgroups.
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