On some Translation Planes Admitting a Frobenius Group of Collineations

6533b838fe1ef96bd12a44f7

RESEARCH PRODUCT

On some Translation Planes Admitting a Frobenius Group of Collineations

subject

Algebra Combinatorics Dimension (vector space)Collineation Group (mathematics)Order (group theory)Frobenius group Translation (geometry)Mathematics Plane (Unicode)

description

Publisher Summary This chapter presents some results concerning translation planes of dimension 2 over GF(q), where q = p r . π denotes such a plane. It is assumed that π has a collineation group F of order q 2 (q-1) satisfying the condition: there exists a point V e l ∞ such that F fixes V and acts (faithfully) as a Frobenius group on l ∞ – {V}.

year	journal	country	edition	language
1983-01-01

https://doi.org/10.1016/s0304-0208(08)73289-4

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