Let o be the ring of integers of a non-Archimedean local field such that the residue field has even characteristic and maximal ideal p. Let e(o) denotes the ramification index of o in case o has characteristic zero. We prove that the abscissa of convergence of representation zeta function of Special Linear group SL2(o) is 1. We also prove that for any o of characteristic zero with the residue field of cardinality q such that 2 | q the group algebras C[SL2(o/p 2r )] and C[SL2(Fq[t]/(t 2r ))] are not isomorphic for any r > e(o). Further we give a construction of all primitive irreducible representations of groups SL2 Fq[t]/(t 2r ) for all r ≥ 1 and of groups SL2(o/p 2r ), where o has characteristic zero and r ≥ 2 e(o).

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