1. Home
  2. Scrabble Dictionary. Word Meaning and Points

Isogeny in Scrabble and Meaning

Lookup Word Points and Definitions

What does isogeny mean? Is isogeny a Scrabble word?

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

Scrabble® and Words with Friends® points for isogeny

See how to calculate how many points for isogeny.

Is isogeny a Scrabble word?

Yes. The word isogeny is a Scrabble US word. The word isogeny is worth 11 points in Scrabble:

I1S1O1G2E1N1Y4

Is isogeny a Scrabble UK word?

Yes. The word isogeny is a Scrabble UK word and has 11 points:

I1S1O1G2E1N1Y4

Is isogeny a Words With Friends word?

Yes. The word isogeny is a Words With Friends word. The word isogeny is worth 12 points in Words With Friends (WWF):

I1S1O1G3E1N2Y3

Our tools

Valid words made from Isogeny

Jump to...

Results

7-letter words (1 found)

ISOGENY,

6-letter words (5 found)

GYNIES,INGOES,SOIGNE,SYEING,YOGINS,

5-letter words (16 found)

EOSIN,EYING,GONYS,GYNIE,GYNOS,NOISE,NOISY,NOSEY,NOYES,SEGNI,SEGNO,SENGI,SINGE,YOGIN,YOGIS,YONIS,

4-letter words (47 found)

EGIS,EGOS,ENGS,EONS,GENS,GEOS,GIEN,GIES,GINS,GIOS,GOES,GOEY,GONE,GONS,GOYS,GYNO,INGO,INGS,IONS,NEGS,NIES,NOES,NOGS,NOSE,NOSY,NOYS,NYES,ONES,ONIE,OYES,SEGO,SIEN,SIGN,SINE,SING,SNIG,SNOG,SNYE,SONE,SONG,SYEN,SYNE,YENS,YGOE,YINS,YOGI,YONI,

3-letter words (53 found)

EGO,ENG,ENS,EON,GEN,GEO,GEY,GIE,GIN,GIO,GIS,GOE,GON,GOS,GOY,ING,INS,ION,IOS,ISO,NEG,NIE,NIS,NOG,NOS,NOY,NYE,NYS,OES,OIS,ONE,ONS,ONY,OSE,OYE,OYS,SEG,SEI,SEN,SEY,SIG,SIN,SNY,SOG,SON,SOY,SYE,SYN,YEN,YES,YGO,YIN,YON,

2-letter words (19 found)

EN,ES,GI,GO,IN,IO,IS,NE,NO,NY,OE,OI,ON,OS,OY,SI,SO,YE,YO,

1-letter words (1 found)

E,

You can make 142 words from isogeny according to the Scrabble US and Canada dictionary.

Definitions and meaning of isogeny

isogeny

Etymology

iso- +‎ -geny.

Noun

isogeny (countable and uncountable, plural isogenies)

  1. The condition of being isogenous.
  2. (algebraic geometry, category theory) An epimorphism of group schemes that is surjective and has a finite kernel.
    • 2002, Mireille Fouquet, François Morain, Isogeny Volcanoes and the SEA Algorithm, Claus Fieker, David R. Kohel (editors), Algorithmic Number Theory: 5th International Symposium, Proceedings, Springer, LNCS 2369, page 279,
      Lemma 2.2 Let E {\displaystyle E} be an elliptic curve such that Z [ π ] {\displaystyle \mathbb {Z} [\pi ]} is maximal at l {\displaystyle {\mathcal {l}}} . If there exists an l {\displaystyle {\mathcal {l}}} -isogeny of E {\displaystyle E} , then this l {\displaystyle {\mathcal {l}}} -isogeny is an[sic] horizontal l {\displaystyle {\mathcal {l}}} -isogeny.
    • 2005, Fred Diamond, Jerry Shurman, A First Course in Modular Forms, Springer, page 29,
      The dual isogeny of an isomorphism is its inverse. The dual of a composition of isogenies is the composition of the duals in the reverse order. If φ {\displaystyle \varphi } is an isogeny and φ ^ {\displaystyle {\hat {\varphi }}} is its dual then the formulas φ ( z + Λ ) = m z + Λ ′ {\displaystyle \varphi (z+\Lambda )=mz+\Lambda '} , φ ( z ′ + Λ ′ ) = ( φ ⁡ / m ) z ′ + Λ {\displaystyle \varphi (z'+\Lambda ')=(\operatorname {\varphi } /m)z'+\Lambda } show that also
      φ ∘ φ ^ = [ deg ⁡ ( φ ) ] = [ deg ⁡ ( φ ^ ) ] {\displaystyle \varphi \circ {\hat {\varphi }}=\left[\operatorname {deg} (\varphi )\right]=\left[\operatorname {deg} ({\hat {\varphi }})\right]} ,
      so that φ {\displaystyle \varphi } is in turn the dual isogeny of its dual φ ^ {\displaystyle {\hat {\varphi }}} . Isogeny of complex tori, rather than isomorphism, will turn out to be the appropriate equivalence relation in the context of modular forms.

Usage notes

In some contexts, (e.g., universal algebra), an epimorphism may be defined as a surjective homomorphism, and the definition of isogeny may change accordingly. In the broader context of category theory, however, this substitution is not made, because the definitions are not precisely identical. (A surjective homomorphism is always an epimorphism, but the reverse is not always true. See Epimorphism on Wikipedia.Wikipedia )

Derived terms

  • dual isogeny
  • isogenic
  • isogenous
  • isogeny cycle
  • isogeny graph
  • isogeny volcano

Translations

Further reading

  • Isogeny on Encyclopedia of Mathematics
  • Isogeny on Wolfram MathWorld

Source: wiktionary.org