Coset in Scrabble Dictionary

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What does coset mean? Is coset a Scrabble word?

How many points in Scrabble is coset worth? coset how many points in Words With Friends? What does coset mean? Get all these answers on this page.

Scrabble® and Words with Friends® points for coset

See how to calculate how many points for coset.

Is coset a Scrabble word?

Yes. The word coset is a Scrabble US word. The word coset is worth 7 points in Scrabble:

C3O1S1E1T1

Is coset a Scrabble UK word?

Yes. The word coset is a Scrabble UK word and has 7 points:

C3O1S1E1T1

Is coset a Words With Friends word?

Yes. The word coset is a Words With Friends word. The word coset is worth 8 points in Words With Friends (WWF):

C4O1S1E1T1

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Valid words made from Coset

You can make 40 words from 'coset' in our Scrabble US and Canada dictionary.

5 letters words from 'coset'

COSET 7COSTE 7
COTES 7ESCOT 7
ESTOC 7 

4 letters words from 'coset'

COSE 6COST 6
COTE 6COTS 6
ECOS 6SCOT 6
SECO 6SECT 6
TECS 6TOCS 6
TOES 4TOSE 4

3 letters words from 'coset'

COS 5COT 5
ECO 5EST 3
OES 3OSE 3
SEC 5SET 3
SOC 5SOT 3
TEC 5TES 3
TOC 5TOE 3

2 letters words from 'coset'

ES 2ET 2
OE 2OS 2
SO 2ST 2
TE 2TO 2

All 5 letters words made out of coset

coset ocset csoet scoet oscet socet coest ocest ceost ecost oecst eocst cseot sceot cesot ecsot secot escot osect soect oesct eosct seoct esoct coste ocste csote scote oscte socte cotse octse ctose tcose otcse tocse cstoe sctoe ctsoe tcsoe stcoe tscoe ostce sotce otsce tosce stoce tsoce coets ocets ceots ecots oects eocts cotes octes ctoes tcoes otces toces cetos ectos cteos tceos etcos tecos oetcs eotcs otecs toecs etocs teocs cseto sceto cesto ecsto secto escto csteo scteo ctseo tcseo stceo tsceo cetso ectso cteso tceso etcso tecso setco estco steco tseco etsco tesco osetc soetc oestc eostc seotc esotc ostec sotec otsec tosec stoec tsoec oetsc eotsc otesc toesc etosc teosc setoc estoc steoc tseoc etsoc tesoc

Note: these 'words' (valid or invalid) are all the permutations of the word coset. These words are obtained by scrambling the letters in coset.

Definitions and meaning of coset

coset

Etymology

co- +‎ set; apparently first used 1910 by American mathematician George Abram Miller.

Noun

coset (plural cosets)

  1. (algebra, group theory) 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.
    • 1970 [Addison Wesley], Frederick W. Byron, Robert W. Fuller, Mathematics of Classical and Quantum Physics, Volumes 1-2, Dover, 1992, page 597,
      Theorem 10.5. The collection consisting of an invariant subgroup H and all its distinct cosets is itself a group, called the factor group of G, usually denoted by G/H. (Remember that the left and right cosets of an invariant subgroup are identical.) Multiplication of two cosets aH and bH is defined as the set of all distinct products z = xy, with xaH and ybH; the identity element of the factor group is the subgroup H itself.
    • 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.
    • 2009, Lindsay N. Childs, A Concrete Introduction to Higher Algebra, Springer, 3rd Edition, page 231,
      Example 3. Let G = Z {\displaystyle G=\mathbb {Z} } (the operation is + {\displaystyle +} ), H = 2 Z {\displaystyle H=2\mathbb {Z} } . Then the coset 1 + 2 Z {\displaystyle 1+2\mathbb {Z} } is the set of integers of the form 1 + 2 k {\displaystyle 1+2k} where k {\displaystyle k} runs through all elements of Z {\displaystyle \mathbb {Z} } .

Usage notes

Mathematically, given a group G {\displaystyle G} with binary operation {\displaystyle \circ } , element g G {\displaystyle g\in G} and subgroup H G {\displaystyle H\subseteq G} , the set { g h : h H } {\displaystyle \left\{g\circ h:h\in H\right\}} , which also defines the left coset if G {\displaystyle G} is not assumed to be abelian.

The concept is relevant to the (mathematical) definitions of normal subgroup and quotient group.

Derived terms

  • double coset
  • left coset
  • right coset

Translations

Further reading

  • Lagrange's theorem (group theory) on Wikipedia.Wikipedia
  • Normal subgroup on Wikipedia.Wikipedia
  • Quotient group on Wikipedia.Wikipedia
  • Coset on Wolfram MathWorld
  • Coset in a group on Encyclopedia of Mathematics

Anagrams

  • Coste, Cotes, OTECs, ScotE, cotes, scote

Source: wiktionary.org
  • a mathematical subset.
    (source: Collins Scrabble Dictionary)