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A tier list is a concept originating in video game culture where playable characters or other in-game elements are subjectively ranked by their respective viability as part of a list. Characters listed high on a tier list of a specific game are considered to be powerful characters compared to lower-scoring characters, and are therefore more ...
Rift Royale is a battle royale game developed by Easy.gg, the developers behind BedWars and Islands. The game was inspired by Fortnite Battle Royale, and was an attempt to create an "awesome competitive game" within the Roblox platforms limitations. In August 2022, the game was shut down following a mass wave of exploiters rendering the game ...
The groups D 2 and D 2h are noteworthy in that there is no special rotation axis. Rather, there are three perpendicular 2-fold axes. D 2 is a subgroup of all the polyhedral symmetries (see below), and D 2h is a subgroup of the polyhedral groups T h and O h. D 2 occurs in molecules such as twistane and in homotetramers such as Concanavalin A.
The irreducible complex characters of a finite group form a character table which encodes much useful information about the group G in a concise form. Each row is labelled by an irreducible character and the entries in the row are the values of that character on any representative of the respective conjugacy class of G (because characters are class functions).
This lists the character tables for the more common molecular point groups used in the study of molecular symmetry. These tables are based on the group-theoretical treatment of the symmetry operations present in common molecules, and are useful in molecular spectroscopy and quantum chemistry. Information regarding the use of the tables, as well ...
The character table does not in general determine the group up to isomorphism: for example, the quaternion group Q and the dihedral group of 8 elements, D 4, have the same character table. Brauer asked whether the character table, together with the knowledge of how the powers of elements of its conjugacy classes are distributed, determines a ...
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