Edexcel FP2 2021 June — Question 4

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2021
SessionJune
TopicGroups

  1. Let \(G\) be a group of order \(46 ^ { 46 } + 47 ^ { 47 }\)
Using Fermat's Little Theorem and explaining your reasoning, determine which of the following are possible orders for a subgroup of \(G\)
  1. 11
  2. 21