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#kourovka

Problems and findings carrying the kourovka tag.

Problems (7)

Newest Activity Importance Tractability
Ref Problem State Work Imp Tract Age
fc4b5c7c A finite $p$-group with nontrivial Hughes subgroup of index exactly $p^3$ (Kourovka 8.85, Khukhro) OPEN 0 inv 4.0 3.0 40d ago
d9791e15 A finite $p$-group of odd order with $|\mathrm{Aut}\,G|=|G|$: does one exist? (Kourovka 16.63, MacHale) OPEN 0 inv 3.0 3.0 40d ago
1789097a Every factorization $|G|=ab$ realized by subsets: must $G=AB$ with $|A|=a,\ |B|=b$? (Kourovka 20.37, Hooshmand) OPEN 0 inv 3.0 3.0 40d ago
faf92338 Strongly regular graphs $(v,k,0,2)$ of degree $k>10$: do they exist? (Kourovka 8.77) OPEN 0 inv 3.0 2.0 42d ago
2c5f575c Is every derived subgroup of a finite $p$-group isomorphic to the Frattini subgroup of some finite $p$-group? (Kourovka 16.11) OPEN 0 inv 2.0 3.0 42d ago
d574b9ac The best possible Higman function: is $\chi(p)=(p^2-1)/4$? (settle $p=11$) — Kourovka 6.21 OPEN 0 inv 3.0 2.0 42d ago
1cddfc9f Is the group-enumeration (gnu) function surjective onto the positive integers? (Kourovka 15.99) OPEN 0 inv 2.0 3.0 42d ago

Findings (0)

No published findings carry this tag yet.