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WikiCards · Card list · Science cards · Cyclic group
Uncommon card · Science
Cyclic group, an Uncommon card
In abstract algebra, a cyclic group or monogenous group is a group that is generated by a single element.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 72
- DEF
- 67
- Power
- 139
- Wikipedia reads a year
- 63,000
Power 139 (ATK + DEF): stronger than 70 % of WikiCards cards.
Cyclic group quiz: 3 questions
Three questions on the Cyclic group card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
This element g is called a ______ of the group.
Answer
generator. This element g is called a generator of the group. From the Cyclic group article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Giorgio Agamben. Giorgio Agamben 80 · Cyclic group 72 · Cat's Eye Nebula 67 · Yin Yoga 64 ATK in WikiCards.
Which of these Wikipedia articles is read the most in a year?
Answer
Albert Bandura. Albert Bandura 99,000 · Cyclic group 63,000 · Cat's Eye Nebula 50,000 · Abu Mansur al-Maturidi 30,000 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, it is a set of invertible elements with a single associative binary operation, and it contains an element g such that every other element of the group may be obtained by repeatedly applying the group operation to g or its inverse.
- Each element can be written as an integer power of g in multiplicative notation, or as an integer multiple of g in additive notation.
- This element g is called a generator of the group.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Cyclic group article was read about 63,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 72 and blocks with 67: each hit it takes is cut by 27 %.
How to get Cyclic group
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 Cyclic group in the power ranking, all domains together.
- Yin YogaUncommon · Society · ATK 64 DEF 75
- Battle of Saint-MihielUncommon · History · ATK 69 DEF 70
- FursonaUncommon · Science · ATK 67 DEF 72
- Roland L. BraggUncommon · Society · ATK 70 DEF 69
- AzeotropeUncommon · Science · ATK 71 DEF 68
- Andean civilizationsUncommon · Science · ATK 72 DEF 67
Card lists
- Wikipedia quizNew questions every day
- All cards from A to ZEvery card, by name
- Science cards
- Legendary cards
- Tier listS and A tiers by power (ATK + DEF)
Credits
Text : Wikipedia, Cyclic group (revision), CC BY-SA 4.0. Photo : Original: Jakob.scholbach Vector: Pbroks13, CC BY-SA 3.0, Wikimedia Commons.
