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Transitive t-designs and strongly regular graphs constructed from linear groups L(2,q), q≤23
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نویسنده
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crnkovic dean ,svob andrea
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منبع
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international journal of group theory - 2019 - دوره : 8 - شماره : 3 - صفحه:43 -46
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چکیده
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in this paper we construct transitive t-designs from the linear groups l(2,q),q≤23.thereby we classify t-designs, t≥2, admitting a transitive action of the linear groups l(2,q),q≤23, up to 35 points and obtained numerous transitive designs, for 36≤v≤55. in many cases we proved the existence of t-designs with certain parameter sets. among others we constructed t-designs with parameters 2-(55,10,4), 3-(24,11,495), 3-(24,12,5m),m∈{11,12,22,33,44,66,132}. furthermore, we constructed strongly regular graphs admitting a transitive action of the linear groups l(2,q),q≤23.
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کلیدواژه
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t-design ,strongly regular graph ,linear group ,transitive group.
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آدرس
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university of rijeka, department of mathematics, Croatia, university of rijeka, department of mathematics, Croatia
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پست الکترونیکی
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asvob@math.uniri.hr
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Authors
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