Abstract
Given the abelian p-group M=〈a〉⊕〈b〉⊕C, where ¦a¦=p n⩾¦b¦=pm > exp C= =ps>1, set R(M) =·ϕ∈P(M)·Hϕ=H, ϕ·ΩS(M)=1}. Our main result is the existence of a well determined isomorphism of R(M) onto a well defined subgroup of\(\mathop \Pi \limits_{k = 0}^{n - m} PR(p^{n - k - m} R_{n - k} ) \times PR(pR_m )\).
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Dedicated to M. Suzuki on the occasion of his 70th birthday.
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Costantini, M., Holmes, C.S. & Zacher, G. A representation theorem for the group of autoprojectivities of an abelianp-group of finite exponent. Annali di Matematica pura ed applicata 175, 119–140 (1998). https://doi.org/10.1007/BF01783678
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DOI: https://doi.org/10.1007/BF01783678