## The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |

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Page 277

For an equation of fifth degree G will in general be of order 120 and will have a

normal subgroup of order 60, a simple group. In this situation Abel showed that

the equation could not be solved by radicals. direct products;

any ...

For an equation of fifth degree G will in general be of order 120 and will have a

normal subgroup of order 60, a simple group. In this situation Abel showed that

the equation could not be solved by radicals. direct products;

**abelian groups**Ifany ...

Page 298

Further examples of natural transformations of functors can be given: (a) The

category "21 of

A, of the

Further examples of natural transformations of functors can be given: (a) The

category "21 of

**Abelian groups**and homomor- phisms is ... The torsion subgroupA, of the

**Abelian group**A consists of those elements of A that are of finite order.Page 303

... sequence is known and the limit term is related to an

calculated, or, at least, about which information is sought. The relation of to this

group is frequently that of the graded group associated to a filtration of that group.

... sequence is known and the limit term is related to an

**Abelian group**to becalculated, or, at least, about which information is sought. The relation of to this

group is frequently that of the graded group associated to a filtration of that group.

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