ON TRANSLATION PLANES OF ORDER q WHICH ADMIT AN AUTOTOPISM GROUP HAVING AN ORBIT OF LENGTH q-q
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منابع مشابه
Translation planes admitting a linear Abelian group of order (q+1)2
Translation planes of order q and spread in PG(3, q), where q is an odd prime power and q− 1 has a p-primitive divisor, that admit a linear Abelian group of order (q + 1) containing at most three kernel homologies are shown to be associated to flocks of quadratic cones.
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Finite translation planes having a collineation group isomorphic to SL(2, 5)occur in many investigations on minimal normal non-solvable subgroups of linear translation complements. In this paper, we are looking for multiply derived translation planes of the desarguesian plane which have an inherited linear collineation group isomorphic to SL(2, 5). The Hall plane and some of the planes discover...
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Suppose G is a group of order p^2q^2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p^2q^2 when Q and P are cyclic, three groups when Q is a cyclic and P is an elementary ablian group, p^2+3p/2+7 groups when Q is an elementary ablian group an...
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