Two-sided crossed products of groups

Esra Cetinalp, Eylem Karpuz, Firat Ates, Sinan Cevik
2016 Filomat  
In 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.
doi:10.2298/fil1604005c fatcat:44tkaookprcllidrxdgj5kzx5y