#3188 ⟨a, b, c | ba=ab, abcc=1⟩

Properties

Sum of relation sides is 8
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by d is not injective:
- d ⋅ c²d = d and d ⋅ 1 = d, however c²d ≠ 1
Not right cancellative, because right multiplication by c² is not injective:
- c²d ⋅ c² = c² and 1 ⋅ c² = c², however c²d ≠ 1

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:ba=ab,abcc=1 cabd ab=d morph:2/1
ab=d
ba=d
da=ad
db=bd
dcc=1