Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
01.12.1940
E-mail: ,
Keywords: free groups; defining relations; amalgamated free products; Higman–Neumann–Neumann extensions; residuality of groups.
Subject:
Have applied the construction of $HNN$-extension to study of structure of one relator groups. The algorithmic solvability of the conjugacy problem of finitely generated subgroups of a free group is proved. For Baumslag–Solitar one-relator groups the criterion is found for existence of a surjective endomorphism such that the union of kernels of powers of it coincides with the intersection of all finite index normal subgroups. It is proved that any finitely generated subgroup of one-relator group with non-trivial centre is finitely separated. Ñriterions for descenting $HNN$-extensions to be residually finite and for $HNN$-extension of a finite $p$-group to be residually a finite $p$-group are given.
Main publications:
Moldavanskii D. I. Sibyakova N. U. On the finite images of some one-relator groups // Proc. Amer. Math. Soc., 1995, 123, 2017–2020.
