1.
Groups
Whose Universal Theory is Axiomatizable by
Quasi-Identities (with B.Fine, A.M.Gaglione
and D.Spellman),
to appear in J. Group Theory. 2. Foldings, graphs of groups and the membership problem (with I.Kapovich and R.Weidmann), to appear in Internat. Journal Algebra Comput. 3.
Pattern
Recognition and Minimal Words in Free Groups of Rank 2 (with R.M.Haralick and A.D.Miasnikov), to
appear in J. Group Theory. 4.
Big powers
and free constructions (with A.Kvaschuk). to appear in Contemporary Mathematics. 5.
Conjugacy
problem in HNN-extensions of groups (with A. Borovik
and V. Remeslennikov), to appear in Contemporary Mathematics. 6.
Conjugacy
problem in Miller's groups (with A. Borovik and V. Remeslennikov), to
appear in Contemporary Mathematics. 7.
Complexity
of the conjugacy problem in amalgamated products of
free groups (with A. Borovik and V. Remeslennikov), to
appear in Contemporary Mathematics. 8.
Regular
free length functions on Lyndon's free Z[t]-group F^Z[t] (with V. Remeslennikov and D.Serbin), to appear in Contemporary Mathematics. 9.
Algebraic
geometry over free groups: lifting solutions into generic points (with O.Kharlampovich), to
appear in Contemporary Mathematics. 10. Effective JSJ decompositions (with O.Kharlampovich),
to appear in Contemporary
Mathematics. 11. Average-case complexity for the word and membership
problems in group theory (with I.Kapovich, P.Schupp and V.Shpilrain). 12. Heuristics for Whitehead Minimization Problem (with R.M.Haralick and A.D.Miasnikov. 13. Implicit function theorems over free groups (with O.Kharlampovich). 14. Elementary theory of free groups. The Tarski problem.
(with O.Kharlampovich). 15. Algebraic geometry over groups III: Elements of model
theory (with A.Kvaschuk and V. Remeslennikov).
16. On the Hanna Newmann
Conjecture (with T.Jitsukawa and B.Khan). |