Wambugu Wa Nyingi, Jane Muthoni Mara, Paulo Nzili, who were victims of torture during the Mau Mau uprising, will learn whether their compensation claims against the British Government can proceed.
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The Sunday Times reported the Prime Minister, fiancee Carrie Symonds and their son Wilfred would travel north of the border next weekend.
The city was bombed on August 9, 1945, leaving more than 70,000 people dead.
The UK economy shrank by more than 20% in the first half of the year.