Ponaki Das

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math.CO2026

Minimum Size of a Poset Realizing $Z_{2} \times Z_{2^{n}}$ as its Automorphism Group

Ponaki Das, Sainkupar Marwein Mawiong

We study the realization of finite groups as automorphism groups of finite posets. Given a finite group $G$ , let $β (G)$ denote the smallest number of elements in a poset $P$ with $…

math.CO2026

The Minimum Size of a Poset Realizing $Z_{2} \times Z_{4}$ as its Automorphism Group

Ponaki Das, Sainkupar Marwein Mawiong

For a finite group $G$ , let $β (G)$ denote the minimum cardinality $∣ P ∣$ among finite posets $P$ whose automorphism group $\Aut(P)$ is isomorphic to $G$ . While every finite group is…

Minimum Size of a Poset Realizing Z2​×Z2n​ as its Automorphism Group

The Minimum Size of a Poset Realizing Z2​×Z4​ as its Automorphism Group

Minimum Size of a Poset Realizing $Z_{2} \times Z_{2^{n}}$ as its Automorphism Group

The Minimum Size of a Poset Realizing $Z_{2} \times Z_{4}$ as its Automorphism Group