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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.

MSC:

20E05 Free nonabelian groups
20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
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