On systems of equations over free partially commutative groups / Montserrat Casals-Ruiz, Ilya Kazachkov.

Format:

Book

Author/Creator:

Casals-Ruiz, Montserrat.

Contributor:

Kazachkov, Ilya.

Series:

Memoirs of the American Mathematical Society ; no. 999.

Memoirs of the American Mathematical Society, 0065-9266 ; no. 999

Language:

English

Subjects (All):

Equations, Abelian.

Abelian groups.

Physical Description:

vii, 153 pages : illustrations ; 26 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, 2011.

Summary:

Casals-Ruiz (McGill U.) and Kazachkov (U. of Oxford) construct an analogue of Makanin-Razborov diagrams and use it to give a description of the solution set of systems of equations over partially commutative groups. In order to describe the solutions of constrained generalized equations over a free monoid, the monograph develops a branching rewriting process for constrained generalized equations and defines the automorphism groups of coordinate groups for the parameterization of the solution sets. A solution tree is constructed from an extension tree with the property that for every leaf the coordinate group of the generalized equation associated to it is a fully residually G partially commutative group. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

Notes:

"Volume 212, number 999 (end of volume)."

Includes bibliographical references and index.

ISBN:

9780821852583

0821852582

OCLC:

712931074