Nonexistence of certain planes of order 10 and 12 |
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Authors: | Leonard Baumert Marshall Hall |
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Institution: | California Institute of Technology, Pasadena, California 91190, USA |
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Abstract: | It is shown here that no plane of order 12 exists which has a group of elations of order 12. It is also shown that no plane of order 10 exists which has a multiplicative loop that is a group. |
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