A weak Moufang condition suffices

نویسنده

  • Katrin Tent
چکیده

If Γ is a 2-Moufang generalized n-gon for n ≤ 6, then Γ is Moufang. © 2004 Elsevier Ltd. All rights reserved. MSC: 20E42; 51E12; 05C25

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

On the Universality of Some Smarandache Loops of Bol-moufang Type

A Smarandache quasigroup(loop) is shown to be universal if all its f, g-principal isotopes are Smarandache f, g-principal isotopes. Also, weak Smarandache loops of Bol-Moufang type such as Smarandache: left(right) Bol, Moufang and extra loops are shown to be universal if all their f, g-principal isotopes are Smarandache f, gprincipal isotopes. Conversely, it is shown that if these weak Smaranda...

متن کامل

On polygons, twin trees, and CAT(1)-spaces

We give a model theoretic construction for generalized n-gons satisfying a weak Moufang condition. An ultraproduct of these yields a forest, from which we obtain twin and multiple trees in the sense of Tits/Ronan as well as homogeneous CAT(1)-spaces. 1

متن کامل

Moufang Buildings and Twin Buildings

The “Moufang Condition” for spherical buildings was introduced by J. Tits in the appendix of [9], as a tool to give more structure to the classification of spherical buildings of rank at least three (which are automatically “Moufang”). More recently, also the spherical buildings of rank 2 satisfying the Moufang Condition are classified [13]. Hence one could say that, on the geometric level, sph...

متن کامل

The commutative Moufang loops with maximum conditions for subloops

It is proved that the maximum condition for subloops in a commutative Moufang loop Q is equivalent with the conditions of finite generating of different subloops of the loop Q and different subgroups of the multiplication group of the loop Q. An analogue equivalence is set for the commutative Moufang ZA-loops. Classification: 20N05

متن کامل

Primary Decompositions in Varieties of Commutative Diassociative Loops

The decomposition theorem for torsion abelian groups holds analogously for torsion commutative diassociative loops. With this theorem in mind, we investigate commutative diassociative loops satisfying the additional condition (trivially satisfied in the abelian group case) that all nth powers are central, for a fixed n. For n = 2, we get precisely commutative C loops. For n = 3, a prominent var...

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:
  • Eur. J. Comb.

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2005