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Let R be a discrete valuation ring of unequal characteristic which contains aprimitive p^2-th root of unity. If K is the fraction field of R, it is wellknown that (Z/p^2 Z)_K is isomorphic to \mu_{p^2,K}. We prove that any finiteand flat R-group scheme of order p^2 isomorphic to (Z/p^2 Z)_K on the genericfiber (i.e. a model of (Z/p^2 Z)_K), is the kernel in a short exact sequencewhich generically coincides with the Kummer sequence. We will explicitlydescribe and classify such models.

Models of Z/p^2 Z over a d.v.r. of unequal characteristic