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Should this conjecture hold it would provide a true analogue of Theorem 5.1.
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The Gap Conjecture holds for residually supersolvable groups.
If (I(a)) is empty, then the conjecture holds.
Let n and S be such that the conjecture holds.
Then the Ω Conjecture holds and the AD+ Conjecture is Ω-valid.
We describe a wide class of graphs for which the Ádám conjecture holds.
We investigate special cases of the conjecture and prove that the conjecture holds for some of them.
This work implies that Thompson's conjecture holds for L 2 ( p ). MSC 20D08, 20D60.
Chen and Shon proved the conjecture holds if σ 2 ( f ) < 1 2, see [8].
Among other results, the authors prove that the overfull conjecture holds for this class of graphs.
Theorem 4.3 shows that the Willmore conjecture holds for tori with antipodal symmetry.
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