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WikiCards · Card list · Science cards · Lagrange's theorem
Uncommon card · Science
Lagrange's theorem, an Uncommon card
In the mathematical field of group theory, Lagrange's theorem states that if H is a subgroup of any finite group G, then | H | is a divisor of | G |.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 62
- DEF
- 28
- Power
- 90
- Wikipedia reads a year
- 45,000
Power 90 (ATK + DEF): stronger than 30 % of WikiCards cards.
Lagrange's theorem quiz: 3 questions
Three questions on the Lagrange's theorem card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
The theorem is named after Joseph-Louis ______.
Answer
Lagrange. The theorem is named after Joseph-Louis Lagrange. From the Lagrange's theorem article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Erin Boag. Erin Boag 68 · Lagrange's theorem 62 · Bagger 288 56 · Banana bread 48 ATK in WikiCards.
Which of these Wikipedia articles is read the most in a year?
Answer
Bagger 288. Bagger 288 110,000 · Bunsen burner 75,000 · Lagrange's theorem 45,000 · Sierpiński carpet 29,000 Wikipedia reads over a year.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- That is, the order of every subgroup divides the order of the whole group.
- The theorem is named after Joseph-Louis Lagrange.
- The following variant states that for a subgroup H of a finite group G, not only is | G | / | H | an integer, but its value is the index [ G : H ], defined as the number of left cosets of H in G.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Lagrange's theorem article was read about 45,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 62 and blocks with 28: each hit it takes is cut by 11 %.
How to get Lagrange's theorem
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
More Science cards
Cards close in power
The cards just above and just below Lagrange's theorem in the power ranking, all domains together.
- Piano sonatasUncommon · Science · ATK 58 DEF 32
- Erin BoagUncommon · Arts · ATK 68 DEF 22
- Ahmad Al-Jaber Al-SabahUncommon · History · ATK 57 DEF 33
- Ed SlaterUncommon · Society · ATK 55 DEF 35
- Emmett DaltonUncommon · Arts · ATK 56 DEF 34
- FreezingUncommon · Science · ATK 58 DEF 32
Card lists
- Wikipedia quizNew questions every day
- All cards from A to ZEvery card, by name
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- Legendary cards
- Tier listS and A tiers by power (ATK + DEF)
Credits
Text : Wikipedia, Lagrange's theorem (revision), CC BY-SA 4.0. Photo : Original: Jakob.scholbach Vector: Pbroks13, CC BY-SA 3.0, Wikimedia Commons.
