کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6414980 | 1334100 | 2011 | 21 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On Bruck loops of 2-power exponent On Bruck loops of 2-power exponent](/preview/png/6414980.png)
The goal of this paper is two-fold. First we provide the information needed to study Bol, Ar or Bruck loops by applying group theoretic methods. This information is used in this paper as well as in Baumeister and Stein (2010) [BS3] and in Stein (2009) [S].Moreover, we determine the groups associated to Bruck loops of 2-power exponent under the assumption that every non-abelian simple group S is either passive or isomorphic to PSL2(q), qâ1⩾4 a 2-power. In a separate paper it is proven that indeed every non-abelian simple group S is either passive or isomorphic to PSL2(q), qâ1⩾4 a 2-power (Stein, 2009) [S]. The results obtained here are used in Baumeister and Stein (2010) [BS3], where we determine the structure of the groups associated to the finite Bruck loops.
Journal: Journal of Algebra - Volume 327, Issue 1, 1 February 2011, Pages 316-336