Elation generalised quadrangles of order (s, p), where p is prime

نویسندگان

  • John Bamberg
  • Tim Penttila
  • Csaba Schneider
چکیده

We show that an elation generalised quadrangle which has p + 1 lines on each point, for some prime p, is classical or arises from a flock of a quadratic cone (i.e., is a flock quadrangle).

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

S ep 2 00 7 Elation generalised quadrangles of order ( s , p ) , where p is prime

We show that an elation generalised quadrangle which has p + 1 lines on each point, for some prime p, is classical or arises from a flock of a quadratic cone (i.e., is a flock quadrangle).

متن کامل

Elation generalized quadrangles of order ( p , t ) , p prime , are classical

Elation generalized quadrangles of order (p, t), p prime, are classical

متن کامل

On Finite Elation Generalized Quadrangles with Symmetries

We study the structure of finite groups G which act as elation groups on finite generalized quadrangles and contain a full group of symmetries about some line through the base point. Such groups are related to the translation groups of translation transversal designs with parameters depending on those of the quadrangles. Using results on the structure of /^-groups which act as translation group...

متن کامل

Elation generalized quadrangles with extra automorphisms and trivial spans

We show that the parameters of a finite elation generalized quadrangle for which the point spans containing the elation point (∞) are trivial, and which admit extra automorphisms fixing (∞) linewise, are powers of the same prime, so that the elation group is a p-group for some prime p. This observation has several strong corollaries, perhaps the most remarkable of which is that a thick elation ...

متن کامل

Determination of generalized quadrangles with distinct elation points

In this paper, we classify the finite generalized quadrangles of order (s, t), s, t > 1, which have a line L of elation points, with the additional property that there is a line M not meeting L for which {L , M} is regular. This is a first fundamental step towards the classification of those generalized quadrangles having a line of elation points.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007