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math.NT2018
On a theorem of Hildebrand
Carsten Dietzel
We prove that for each multiplicative subgroup of finite index in , the set of integers with is an IP-set. This generalizes a theorem of Hildeb…
math.QA2018
A right-invariant lattice-order on groups of paraunitary matrices
Carsten Dietzel
In \cite{rump_goml}, Rump defined and characterized noncommutative universal groups for generalized orthomodular lattices . We give an explicit description of in t…
math.QA2018
Braces of order
Carsten Dietzel
In this article we classify the left braces of order where are primes fulfilling . This classification includes a proof of three conjectures of Guarnieri and…