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B&Q developed two new trading formats: HomeCentres, retailing furniture, bathrooms, soft furniture, flooring and lighting; and AutoCentres, being similar to a Halfords, the first launch taking place at Cribbs Causeway, Bristol, at the end of the 1980s. The concept being to have a HomeCentre, AutoCentre and DIY Superstore with one communal car park.
The principal congruence subgroup of level 2, Γ(2), is also called the modular group Λ. Since PSL(2, Z/2Z) is isomorphic to S 3, Λ is a subgroup of index 6. The group Λ consists of all modular transformations for which a and d are odd and b and c are even.
b = q m + r, where 0 ≤ r < m is the common remainder. We recover the previous relation (a − b = k m) by subtracting these two expressions and setting k = p − q. Because the congruence modulo m is defined by the divisibility by m and because −1 is a unit in the ring of integers, a number is divisible by −m exactly if it is divisible by m.
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