group
(Q83478)
algebraic set with an invertible, associative internal operation admitting a neutral element
algebraic set with an invertible, associative internal operation admitting a neutral element
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Current Data About
group
| (P18) |
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| (P279) |
(Q208237)
(Q3022118) (Q6918890) (Q1196038) (Q5382940) (Q205464) (Q765994)
(Q3836720) |
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| (P373) |
Group theory
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| (P527) |
(Q36161)
(Q164307) (Q185813) (Q7017933) |
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| (P910) |
(Q13324638)
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| (P1424) |
(Q18913508)
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| (P1552) |
(Q4720939)
(Q177251) (Q185813) (Q338057) (Q17079612) |
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| (P1889) |
(Q16887380)
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| (P1963) |
(P1164)
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| (P2354) |
(Q5419318)
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| (P2534) |
\begin{aligned}&(\cdot)\colon G\times G\to G\\&\forall x,y,z\in G\colon (x\cdot y)\cdot z=x\cdot(y\cdot z)\\&\exists1\in G\forall x\in G\colon 1\cdot x=x\cdot1=x\\&\forall x\in G\exists y\in G\colon x\cdot y=y\cdot x=1\end{aligned}
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| (P2579) |
(Q874429)
(Q217413) (Q159943) |
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| (P5008) |
(Q6173448)
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| (P5555) |
Cayley graph Q8.svg
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| (P6104) |
(Q8487137)
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| (P7235) |
G
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other details
| aliases |
Group (algebra) Group (math) Mathematical group mathematical group algebraic group |
| description | algebraic set with an invertible, associative internal operation admitting a neutral element |
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