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WikiCards · Card list · Science cards · Conjugacy class
Uncommon card · Science
Conjugacy class, an Uncommon card
In mathematics, especially group theory, two elements a and b of a group are conjugate if there is an element g in the group such that b = g a g − 1. This is an equivalence relation whose equivalence classes are called conjugacy classes.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 65
- DEF
- 41
- Power
- 106
- Wikipedia reads a year
- 38,000
Power 106 (ATK + DEF): stronger than 60 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- In other words, each conjugacy class is closed under the maps a ↦ g a g − 1, with g an element of the group.
- Members of the same conjugacy class cannot be distinguished by using only the group structure, and therefore share many properties.
- The study of conjugacy classes of non-abelian groups is fundamental for the study of their structure.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Conjugacy class article was read about 38,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 65 and blocks with 41: each hit it takes is cut by 16 %.
How to get Conjugacy class
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Credits
Text : Wikipedia, Conjugacy class (revision), CC BY-SA 4.0. Photo : Davidvandebunte, CC BY-SA 4.0, Wikimedia Commons.
