Same Left Co - Set and Right Co - Set Multipliers for Any given Finite
نویسندگان
چکیده
This theorem was proved by means of the theory of substitution groups in the QUARTERLY JOURNAL OF MATHEMATICS (vol. 41 (1910), p. 382). A few years later H. W. Chapman gave an abstract proof of the same theorem in the MESSENGER OF MATHEMATICS (vol. 42 (1913), p. 132). In view of the facts that this theorem relates to very fundamental properties of a group and that errors appear in the latter article, we proceed to give here another abstract proof, and to develop a few new related theorems, as well as a generalization of the theorem itself.
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