Groups (AQA A-Level Further Maths): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What mnemonic helps remember the four group axioms?
What mnemonic helps remember the four group axioms?
CAII
What property must the identity element satisfy for any element in a group?
What property must the identity element satisfy for any element in a group?
What does the closure property ensure for a group?
What does the closure property ensure for a group?
Combining two elements gives an element in set
What must every element in a group have?
What must every element in a group have?
An inverse where
Which equation defines associativity for elements , , ?
Which equation defines associativity for elements , , ?
What is the order of a group?
What is the order of a group?
The number of elements in the group
What is the period of an element in a group?
What is the period of an element in a group?
Smallest where
How can you identify an abelian group from its Cayley table?
How can you identify an abelian group from its Cayley table?
Table is symmetric about leading diagonal
What is the order of dihedral group for an -sided polygon?
What is the order of dihedral group for an -sided polygon?
What is a generator of a cyclic group?
What is a generator of a cyclic group?
Element producing all others by repetition
