The uniqueness of Hering's translation plane of order 27

✍ Scribed by Oscar E. Barriga; Rolando Pomareda

• Publisher: Springer
• Year: 1985
• Tongue: English
• Weight: 340 KB
• Volume: 19
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00149364

✦ Synopsis

It is shown that the following conjecture of Kallaher and Ostrom [2] is correct: Hering's translation plane of order 27 is the only translation plane of odd dimension over its kernel which has a collineation group isomorphic to SL(2, w) with w prime to 5 and to the characteristic, and having no affine perspectivity.