A translation plane of order 81 and its full collineation group
نویسندگان
چکیده
منابع مشابه
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چکیده ندارد.
Projective Planes of Order 12 Do Not Have a Four Group as a Collineation Group
We have shown in [2] that the full collineation group of any projective plane of order 12 is a (2, 3) group. It is of interest to determine the structure of this (2,3} group. As a first step in that direction, we have shown in [3] that a non-Abelian group of order 6 cannot act as a collineation group on any projective plane of order 12. As a second step, we have shown in [4] that there is no pr...
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Collineation Groups Which Are Primitive on an Oval of a Projective Plane of Odd Order
It is shown that a projective plane of odd order, with a collineation group acting primitively on the points of an invariant oval, must be desarguesian. Moreover, the group is actually doubly transitive, with only one exception. The main tool in the proof is that a collineation group leaving invariant an oval in a projective plane of odd order has 2-rank at most three.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1984
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700021237