#3301 ⟨a, b, c | bb=ac, caaa=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 c is not injective:
- c ⋅ a³c = c and c ⋅ 1 = c, however a³c ≠ 1
Not right cancellative, because right multiplication by a is not injective:
- aca²b ⋅ a = ba and b ⋅ a = ba, however aca²b ≠ b

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:bb=ac,caaa=1 abc - -
bb=ac
bac=acb
caaa=1
cbaaa=caaba
acaaba=ba
cbaaba=ca