TY - GEN
T1 - Equations and fully residually free groups
AU - Kharlampovich, Olga
AU - Myasnikov, Alexei G.
N1 - Publisher Copyright:
© 2010 Springer Basel AG.
PY - 2010
Y1 - 2010
N2 - This paper represents notes of the mini-courses given by the authors at the GCGTA conference in Dortmund (2007), Ottawa-Saint Sauveur conference (2007), Escola d'Algebra in Rio de Janeiro (2008) and Alagna (Italy, 2008) conference on equations in groups. We explain here the Elimination process for solving equations in a free group which has Makanin-Razborov process as a prototype. We also explain how we use this process to obtain the structure theorem for finitely generated fully residually free groups and many other results.
AB - This paper represents notes of the mini-courses given by the authors at the GCGTA conference in Dortmund (2007), Ottawa-Saint Sauveur conference (2007), Escola d'Algebra in Rio de Janeiro (2008) and Alagna (Italy, 2008) conference on equations in groups. We explain here the Elimination process for solving equations in a free group which has Makanin-Razborov process as a prototype. We also explain how we use this process to obtain the structure theorem for finitely generated fully residually free groups and many other results.
KW - Equations
KW - Free groups
UR - http://www.scopus.com/inward/record.url?scp=84975764429&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84975764429&partnerID=8YFLogxK
U2 - 10.1007/978-3-7643-9911-5_8
DO - 10.1007/978-3-7643-9911-5_8
M3 - Conference contribution
AN - SCOPUS:84975764429
SN - 9783764399108
T3 - Trends in Mathematics
SP - 203
EP - 242
BT - Combinatorial and Geometric Group Theory
A2 - Bogopolski, Oleg
A2 - Bumagin, Inna
A2 - Kharlampovich, Olga
A2 - Ventura, Enric
T2 - International Conference on Combinatorial and Geometric Group Theory with Applications, GAGTA 2007
Y2 - 27 August 2007 through 31 August 2007
ER -