On width of embedding of a semigroup into a group

A. V. Sanin

M. V. Lomonosov Moscow State University

Abstract: We consider the generalization of small cancellation theory when only long subwords of defining relators satisfy $C'(\lambda)$ condition. It is proved that a cell such that almost all edges are external exists in van Kampen's diagrams over this group. By this we construct an example of any finite width embedding of semigroup into a group.

UDC: 512.533.72+512.543.16

Received: 01.12.1995

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