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Öğe Two-Sided Crossed Products of Groups(UNIV NIS, FAC SCI MATH, 2016) Cetinalp, Esra K.; Karpuz, Eylem G.; Ates, Firat; Cevik, A. SinanIn this paper, we first define a new version of the crossed product of groups under the name of two-sided crossed product. Then we present a generating and relator sets for this new product over cyclic groups. In a separate section, by using the monoid presentation of the two-sided crossed product of cyclic groups, we obtain the complete rewriting system and normal forms of elements of this new group construction.