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- W2963405514 abstract "To a finite graph there corresponds a free partially commu- tative group: with the given graph as commutation graph. In this paper we construct an orthogonality theory for graphs and their corresponding free partially commutative groups. The theory developed here provides tools for the study of the structure of partially commutative groups, their universal theory and automorphism groups. In particular the theory is applied in this paper to the centraliser lattice of such groups. Glossary of Notation. � a finite undirected graph with vertex set X 1 ⊕ 2 � the join of graphs 1 and 2 CG(S) � the centraliser of a a subset S of G C(G) � the set of centralisers of a group G G or G() � the (free) partially commutative group with underlying gr aph" @default.
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- W2963405514 date "2007-07-01" @default.
- W2963405514 modified "2023-09-26" @default.
- W2963405514 title "ORTHOGONAL SYSTEMS IN FINITE GRAPHS" @default.
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