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Collineation Groups of Translation Planes of Small Dimension
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ostrom, T. G. |
| Copyright Year | 2004 |
| Abstract | A subgroup of the linear translation complement of a translation plane is geometrically irreducible if it has no invariant lines or subplanes. A similar definition can be given for "geometrically primitive". If a group is geometrically primitive and solvable then it is fixed point free or metacyclic or has a normal subgroup 2a+b a of order w where w divides the dimension of the vector space. Similar conditions hold for solvable normal subgroups of geometrically primitive nonsolvable groups. When the dimension of the vector space is small there are restrictions on the group which might possibly be in the translation complement. We look at the situation for certain orders of the plane. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/HOA/IJMMS/Volume4_4/787626.pdf |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/HOA/IJMMS/4/711.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Complement System Proteins Decision problem Fixed point (mathematics) Fixed-Point Number Genetic Translation Process Irreducibility Subgroup A Nepoviruses |
| Content Type | Text |
| Resource Type | Article |
