#5893 ⟨a, b, c | ab=a, bcb=bc⟩

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 a is not injective:
- a ⋅ b = a and a ⋅ 1 = a, however b ≠ 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:ab=a,bcb=bc abdc cb=d morph:2/1
ab=a
ac=ad
bc=bd
dc=dd
cb=d
adb=ad
bdb=bd
ddb=dd