coset
Valid in Scrabble
- Scrabble points
- 7
- Words With Friends
- 8
- Letters
- 5
Definition of coset
1 sense · 1 part of speech · etymology included
noun
-
The set that results from applying a group's binary operation with a given fixed element of the group on each element of a given subgroup.
“1982 [Stanley Thornes], Linda Bostock, Suzanne Chandler, C. Rourke, Further Pure Mathematics, Nelson Thornes, 2002 Reprint, page 614, In general, the coset in row x consists of all the elements xh as h runs through the various elements of H.”
“Example 3. Let G#61;#92;mathbb#123;Z#125; (the operation is #43;), H#61;2#92;mathbb#123;Z#125;. Then the coset 1#43;2#92;mathbb#123;Z#125; is the set of integers of the form 1#43;2k where k runs through all elements of #92;mathbb#123;Z#125;.”
Definitions from Wiktionary, CC BY-SA.
Etymology
From co- + set; apparently first used 1910 by American mathematician George Abram Miller.
Words you can make from coset
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