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EnglishWe establish that there are exactly 500 KTS(33)s admitting an automorphism group fixing one point and acting regularly on the remainder; 436 are over the cyclic group while 64 are over the dicyclic group. There are exactly 243 nonisomorphic STS(33)s underlying the above KTS(33)s; 211 are over the cyclic group while 32 are over the dicyclic group. This gives a significant improvement on the number of known KTS(33)s (at least 528 instead of at least 28).
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http://hdl.handle.net/11391/22770| Titolo: | The 1-rotational Kirkman triple systems of order 33 |
| Autori interni: | BURATTI, Marco |
| Data di pubblicazione: | 2000 |
| Rivista: | JOURNAL OF STATISTICAL PLANNING AND INFERENCE |
| Abstract: | We establish that there are exactly 500 KTS(33)s admitting an automorphism group fixing one point and acting regularly on the remainder; 436 are over the cyclic group while 64 are over the dicyclic group. There are exactly 243 nonisomorphic STS(33)s underlying the above KTS(33)s; 211 are over the cyclic group while 32 are over the dicyclic group. This gives a significant improvement on the number of known KTS(33)s (at least 528 instead of at least 28). |
| Handle: | http://hdl.handle.net/11391/22770 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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