A characterization of $PSL(4,q)$, $q$ even, $q>4$
نویسندگان
چکیده
منابع مشابه
A characterization of the external lines of a hyperoval in PG(3, q), q even
Mauro Zannetti has given a characterization of the external lines of a hyperoval cone in PG(3, q), q even. In the proof he assumes a ‘‘polynomial’’ hypothesis. In this paper, we improve his result by giving a new proof without using that particular hypothesis. © 2011 Elsevier B.V. All rights reserved.
متن کاملA characterization of the Grassmann embedding of H(q), with q even
In this note, we characterize the Grassmann embedding of H(q), q even, as the unique full embedding of H(q) in PG(12, q) for which each ideal line of H(q) is contained in a plane. In particular, we show that no such embedding exists for H(q), with q odd. As a corollary, we can classify all full solid polarized embeddings of H(q) in PG(12, q); they are necessarily Grassmann embeddings of H(q), w...
متن کاملA Q4/Q4 continuum structural topology optimization implementation
A node-based design variable implementation for continuum structural topology optimization in a finite element framework is presented and its properties are explored in the context of solving a number of different design examples. Since the implementation ensures Ccontinuity of design variables, it is immune to elementwise checkerboarding instabilities that are a concern with element-based desi...
متن کاملA NEW CHARACTERIZATION OF SIMPLE GROUP G 2 (q) WHERE q ⩽ 11
Let G be a finite group , in this paper using the order and largest element order of G we show that every finite group with the same order and largest element order as G 2 (q), where q 11 is necessarily isomorphic to the group G 2 (q)
متن کاملA spectrum result on maximal partial ovoids of the generalized quadrangle Q(4, q), q even
In this article, we prove a spectrum result on maximal partial ovoids of the generalized quadrangle Q(4, q), q odd, i.e. for every integer k in the interval [a, b], where a ≈ 3 5 q and b ≈ 9 10 q, there exists a maximal partial ovoid of Q(4, q), q odd, of size k. Since the generalized quadrangle W(q) defined by a symplectic polarity of PG(3, q) is isomorphic to the dual of the generalized quadr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1977
ISSN: 0019-2082
DOI: 10.1215/ijm/1256049411