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math.CO2025
Forbidden multipliers in abelian difference sets
Niklas Miller
We make the observation that certain group automorphisms that fix a large subgroup of an abelian group cannot be multipliers in any non-trivial abelian difference sets, with the si…
math.MG2025
On the kissing number of the cross-polytope
Niklas Miller
A new upper bound for the translative kissing number of the -dimensional cross-polytope is proved, improving on Hadwiger's bound $κ_T(K_n…