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Some rank six geometries for the smallest Fischer sporadic simple group | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 1، دوره 10، شماره 1، خرداد 2025، صفحه 1-10 اصل مقاله (951.74 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2025.11584.1111 | ||
| نویسندگان | ||
| Hossein Moshtagh* 1؛ Ali Reza Rahimipour2 | ||
| 1Department of Computer Science, University of Garmsar, Address Garmsar, Semnan 3588115589, I. R. Iran | ||
| 2Faculty of Electrical & Computer Engineering, Malek Ashtar University of Technology, Tehran, I. R. Iran | ||
| تاریخ دریافت: 22 دی 1403، تاریخ بازنگری: 23 بهمن 1403، تاریخ پذیرش: 23 بهمن 1403 | ||
| چکیده | ||
| This paper introduces some new rank six geometries associated with the Fischer sporadic simple group Fi22. These geometries are both residually connected and firm, with Fi22 acts as a flag-transitive automorphism group on them. The previously known geometries for Fischer sporadic simple group Fi22 have rank at most four. Therefore, we investigate improvements to the lower bound of the maximum rank of the residually connected and firm geometries on which the group Fi22 acts as a flag-transitive automorphism group. Moreover, we demonstrate that the independent generating set of Fischer sporadic simple group Fi22 has a size of at least seven. | ||
| کلیدواژه‌ها | ||
| sporadic simple group؛ coset geometry؛ independent generating set | ||
| مراجع | ||
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