Generalized j-planes
نویسندگان
چکیده
We construct and study a class of translation planes with kernel K ∼= GF (q), order q, and n > 2. These planes generalize the j-planes discovered by Johnson, Pomareda and Wilke in [14]. We show these planes are actually jj · · · j-planes. Hence, most of the results obtained in this article are on jj · · · j-planes. In fact, our study shows that these planes are either nearfield or new. An infinite class of nearfield jj · · · j-planes is shown to exist, and a finite set of sporadic non-André jj · · · j-planes is presented.
منابع مشابه
Geometric structures arising from generalized j-planes
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