Groups in Which a Large Number of Operators May Correspond to Their Inverses

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Groups in Which a Large Number of Operators May Correspond to Their Inverses

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Groups Containing a Relatively Large Number of Operators of Order Two

IT is well known that every group which contains at least one operator of order 2 must contain an odd number of such operators and that there is an infinite number of groups such that each of them contains exactly 2m + 1 operators of order 2, where m is an arbitrary positive integer or 0. It is also known that if exactly one half of the operators of a group are of order 2 then the order of this...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1906

ISSN: 0002-9947

DOI: 10.2307/1986437