Fite : Groups Whose Orders Are Powers of a Prime
نویسنده
چکیده
In this article two somewhat distinct methods are used to study the properties of groups whose orders are powers of a prime. What may, for the purpose of distinction, be called the usual method is applied in the first part to establish certain properties of the commutators of a group. The commutators are differentiated among themselves by the introduction of the notion of successive commutators. The second part of the article concerns itself with the representation of certain groups as irreducible linear homogeneous groups and then by the use of the theory of group characters as developed by Frobenius and Burnside establishes some properties of abstract groups.
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The Ganita-Sâra-Sangraha of Mahâvïrâcârya with English
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