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On the existence of maximal subgroups in amalgamated free products. (English) Zbl 0441.20017

MSC:

20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
20E28 Maximal subgroups
20E07 Subgroup theorems; subgroup growth
20E15 Chains and lattices of subgroups, subnormal subgroups