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WikiCards · Card list · Science cards · Normal subgroup
Uncommon card · Science
Normal subgroup, an Uncommon card
In abstract algebra, a normal subgroup is a subgroup that is invariant under conjugation by members of the group of which it is a part.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 64
- DEF
- 51
- Power
- 115
- Wikipedia reads a year
- 53,000
Power 115 (ATK + DEF): stronger than 55 % of WikiCards cards.
Normal subgroup quiz: 3 questions
Three questions on the Normal subgroup card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
Évariste Galois was the first to realize the ______ of the existence of normal subgroups.
Answer
importance. Évariste Galois was the first to realize the importance of the existence of normal subgroups. From the Normal subgroup article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Annette Gordon-Reed. Annette Gordon-Reed 68 · Normal subgroup 64 · Epirus 61 · Pied crow 53 ATK in WikiCards.
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.
- In other words, a subgroup N of the group G is normal in G if and only if g n g − 1 ∈ N for all g ∈ G and n ∈ N. The usual notation for this relation is N ◃ G. Normal subgroups are important because they can be used to construct quotient groups of the given group.
- Furthermore, the normal subgroups of G are precisely the kernels of group homomorphisms with domain G, which means that they can be used to internally classify those homomorphisms.
- Évariste Galois was the first to realize the importance of the existence of normal subgroups.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Normal subgroup article was read about 53,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 64 and blocks with 51: each hit it takes is cut by 20 %.
How to get Normal subgroup
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 Normal subgroup in the power ranking, all domains together.
- EpirusUncommon · Science · ATK 61 DEF 54
- Gregory IsaacsUncommon · Arts · ATK 64 DEF 51
- Hideki IrabuUncommon · Society · ATK 66 DEF 49
- Pied crowUncommon · Nature · ATK 53 DEF 62
- Ross MacdonaldUncommon · Arts · ATK 67 DEF 48
- ColophonUncommon · Arts · ATK 62 DEF 53
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, Normal subgroup (revision), CC BY-SA 4.0. Photo : Original: Jakob.scholbach Vector: Pbroks13, CC BY-SA 3.0, Wikimedia Commons.
