#4402 ⟨a, b, c | aba=1, abcc=c⟩

Properties

Sum of relation sides is 8
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not right cancellative, because right multiplication by c is not injective:
- a ⋅ c = c² and c ⋅ c = c², however a ≠ c

Format:	Pretty Plain
Word:
	Enter a word above to compute its normal form. Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Strategy:	Leftmost Rightmost
Result:	1 1

# abc:aba=1,abcc=c bca - -
ab=ba
ac=cc
baa=1
bccc=c

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ	#	Presentation	Mapping
8	4437	⟨a, b, c \| aba=1, bacc=c⟩	φ(a) = a, φ(b) = b, φ(c) = c