منابع مشابه
A Note on Abelian Groups
Vijayaraghavan and Chowla [2] have proved the following result. If n = 2 or has no primitive root, then there exist suitable reduced residue systems ft, r», • • • , f » and Si, s2, ■ ■ ■ , Sh, where h=in), such that riSi, r2s2, • • • , r^Sh is also a complete residue system (mod n). Since the numbers of a reduced residue system (mod n) form an abelian group with respect to multiplication, it...
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Let £-group P act faithfully on abelian group A. Then P also acts faithfully on A, the abelian group of all linear complex characters of A. Suppose that all orbits in A under the action of P have size at most pe and that all orbits in A have size at most p1'. If A is a p'group, then a simple application of Corollary 2.4 of [2] yields \p\ ^p2e and | JP| ikp21 ■ On the other hand, if A is not a p...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1953
ISSN: 0002-9939
DOI: 10.2307/2031834