#3471 ⟨a, b, c | ba=ac, bcb=c⟩

Properties

Sum of relation sides is 8
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aabbab^-1a^-1b⟩
- Embedding: φ(a) = a^-1, φ(b) = ba, φ(c) = ab

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=ac,bcb=c cba - -
ac=ba
bcc=ccb
bcb=c

1 unique, 1 total

Σ	#	Presentation	Properties
8	3034	⟨a, b, c \| aba=b, acb=c⟩	Can Inf