Associativity, For all ⁠ a⁠, ⁠ b, ⁠ c, ⁠ in ⁠ G, one has ⁠ ( a*b )*c = a*( b*c ), Identity element, An element e in G such that e*a = a⁠ and ⁠ a*e = a, Inverse element, For each a in ⁠ G⁠, there exists an element b in G such that a*b = e and ⁠ b*a = e, where e is the identity element., Abelian group, A group, where for each a and b in G, the equation a*b=b*a is true, Non-abelian group, A group, where for each a and b in G, the equation a*b=b*a is false, Order of group, The number of elements of G, Order of an element, The smalles positive integer n such that an=e, Symmetric group, Group of bijections or permutations

Groups

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P p G B b a A
P p G B b a A
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It's a Match
associative property of multiplication
associative property of multiplication
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Passende Paare
Equal Groups
Equal Groups
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Spielshow-Quiz
Equal Groups (G2)
Equal Groups (G2)
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Die passende Antwort
E2: letter A a & B b
E2: letter A a & B b
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Anagramm
A /B
A /B
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Die richtige Gruppe
G2 - Properties of Multiplication (A)
G2 - Properties of Multiplication (A)
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Die richtige Gruppe
Addition Commutative, Associative, Identity Property
Addition Commutative, Associative, Identity Property
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