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...studied at OU level 2 or equivalent. Section 1 describes how to construct a group called the direct product of two given groups, and then describes certain conditions under which a group can be regarded as the direct product of its subgroups. Section 2 describes the key properties of the structure of cyclic groups. Section 3 introduces the notion of a set of generators of...

...skilled at numerate subjects. Despite many studies into sex difference in mathematical ability, the differences have been found to be insignificant. Moreover, studies have shown that reminding women that men are 'better' at mathematics actually causes them to underperform. This would suggest that it is largely social factors which determine how attractive mathematics is...

...studying M303 develop their understanding of group theory and real analysis and see how some of the ideas are applied to cryptography and fractals. Number theory consists of material from M303 Book A, Chapters 1 and 2 and has four sections in total. You should set aside about four hours to study each of the sections; the main content though is in sections 2, 3 and 4, so...