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Статья
2017

Residual p-finiteness of generalized free products of groups


D. N. AzarovD. N. Azarov
Русская математика
https://doi.org/10.3103/S1066369X17050012
Abstract / Full Text

Let p be a prime number. Recall that a group G is said to be a residually finite p-group if for every non-identity element a of G there exists a homomorphism of the group G onto a finite p-group such that the image of a does not coincide with the identity. We obtain a necessary and sufficient condition for the free product of two residually finite p-groups with finite amalgamated subgroup to be a residually finite p-group. This result is a generalization of Higman’s theorem on the free product of two finite p-groups with amalgamated subgroup.

Author information
  • Ivanovo State University, ul. Ermaka 37, Ivanovo, 153025, RussiaD. N. Azarov
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