Edexcel FP2 AS 2020 June — Question 1

Exam BoardEdexcel
ModuleFP2 AS (Further Pure 2 AS)
Year2020
SessionJune
TopicGroups
  1. The set \(G = \{ 1,3,7,9,11,13,17,19 \}\) under the binary operation of multiplication modulo 20 forms a group.
    1. Find the inverse of each element of \(G\).
    2. Find the order of each element of \(G\).
    3. Find a subgroup of \(G\) of order 4
    4. Explain how the subgroup you found in part (c) satisfies Lagrange's theorem.
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