Ershov, Yu. L. Free \(\Delta^*\)-groups. (English. Russian original) Zbl 0901.20009 Algebra Logic 35, No. 2, 86-95 (1996); translation from Algebra Logika 35, No. 2, 154-172 (1996). The notion of free \(\Delta^*\)-group is introduced, using the concept of \(\Delta^*\)-group. It is proved that a \(\Delta^*\)-group is a free product of its subgroups. It is also proved that the class of free \(\Delta^*\)-groups is the axiomatic closure of the class of \(\Delta^*\)-groups. Reviewer: Žarko Mijajlović (Beograd) Cited in 1 Review MSC: 20E05 Free nonabelian groups 20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations Keywords:free groups; free products; axiomatic closures PDFBibTeX XMLCite \textit{Yu. L. Ershov}, Algebra Logika 35, No. 2, 154--172 (1996; Zbl 0901.20009); translation from Algebra Logika 35, No. 2, 154--172 (1996) Full Text: EuDML