commutator length
Word Rarity
Very rare
Frequency: Zipf frequency 2.14 in modern English
26
Scrabble Score
16
Letters
4
Syllables
12
Unique Chars
Meaning
noun
The number of multiplicands needed, at a minimum, to express a given group element as a product of commutators.
noun
The supremum, over all elements of a given group's derived subgroup, of their commutator lengths.
Example Sentences
- "In #92;langlea,b#124;b²#61;1#92;rangle, the commutator length of aba#123;-2#125;ba is two, since it equals (aba#123;-1#125;b#123;-1#125;)(b#123;-1#125;a#123;-1#125;ba) but isn't a commutator."
- "The commutator length of #92;langlea,b#124;b²#61;1#92;rangle is at least two, since there's an element of commutator length two in it."
Inflected Forms
Phrases
stable commutator length