منابع مشابه
Automorphism Groups of Designs*
From a geometric point of view, the most interesting designs (see w 2 for definitions) are generally those admitting fairly large automorphism groups. The methods of finite permutat ion groups may be applied to such designs, and vice versa, as in [5, 6, 8, 11, 13 and 143. We shall prove several general results which are useful in the study of automorphism groups of designs, and then use some of...
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In this paper, we consider the projective special linear group $PSL_2(59)$ and construct some 1-designs by applying the Key-Moori method on $PSL_2(59)$. Moreover, we obtain parameters of these designs and their automorphism groups. It is shown that $PSL_2(59)$ and $PSL_2(59):2$ appear as the automorphism group of the constructed designs.
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H"{o}lder in 1893 characterized all groups of order $pqr$ where $p>q>r$ are prime numbers. In this paper, by using new presentations of these groups, we compute their full automorphism group.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 1969
ISSN: 0025-5874,1432-1823
DOI: 10.1007/bf01111409