Jacob Terkel

collaborators

2 papers

math.CO2024

Restricted sums of sets of cardinality $2 p + 1$ in $Z_{p}^{2}$

Jacinda Terkel

Let $A \subseteq Z_{p}^{2}$ be a set of size $2 p + 1$ for prime $p \geq 5$ . In this paper, we prove that $A +^A = {a_{1} + a_{2} ∣ a_{1}, a_{2} \in A, a_{1} \neq = a_{2}}$ has cardinality at l…

math.GR2024

Fuchs' problem for linear groups

Keir Lockridge, Jacinda Terkel

Which groups can occur as the group of units in a ring? Such groups are called realizable. Though the realizable members of several classes of groups have been determined (e.g., cy…

Restricted sums of sets of cardinality 2p+1 in Zp2​

Fuchs' problem for linear groups

Restricted sums of sets of cardinality $2 p + 1$ in $Z_{p}^{2}$