Small Cancellation Theory - Main Definitions - Metric Small Cancellation Conditions

Metric Small Cancellation Conditions

Let 0 < λ < 1. Presentation (∗) as above is said to satisfy the C'(λ) small cancellation condition if whenever u is a piece with respect to (∗) and u is a subword of some r ∈ R, then |u| < λ|r|. Here |v| is the length of a word v.

The condition C'(λ) is sometimes called a metric small cancellation condition.

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