ar X iv : 0 90 2 . 16 68 v 1 [ m at h . G R ] 1 0 Fe b 20 09 CHARACTERIZATIONS OF THE SOLVABLE RADICAL
نویسنده
چکیده
We prove that there exists a constant k with the property: if C is a conjugacy class of a finite group G such that every k elements of C generate a solvable subgroup then C generates a solvable subgroup. In particular, using the Classification of Finite Simple Groups, we show that we can take k = 4. We also present proofs that do not use the Classification theorem. The most direct proof gives a value of k = 10. By lengthening one of our arguments slightly, we obtain a value of k = 7.
منابع مشابه
ar X iv : 0 90 2 . 39 12 v 1 [ m at h . G R ] 2 3 Fe b 20 09 Brent Everitt The Combinatorial Topology
متن کامل
ar X iv : 0 90 2 . 32 39 v 1 [ m at h . D G ] 1 8 Fe b 20 09 Gauge theory in higher dimensions , II
متن کامل
ar X iv : 0 90 2 . 19 17 v 1 [ m at h . D S ] 1 1 Fe b 20 09 AVERAGES ON ANNULI OF EULIDEAN SPACE
We study the range of validity of differentiation theorems and ergodic theorems for R actions, for averages on “thick spheres” of Euclidean space.
متن کاملar X iv : 0 90 2 . 17 29 v 1 [ m at h . N T ] 1 0 Fe b 20 09 ON THE DIMENSION OF AG TRACE CODES
We determine the dimension of certain q-ary algebraic-geometric codes, extending previous results of Van Der Vlugt for p-ary algebraic-geometric trace codes.
متن کاملar X iv : 0 90 2 . 28 05 v 1 [ m at h . D G ] 1 7 Fe b 20 09 Computing the density of Ricci - solitons on CP 2 ♯ 2 CP 2
This is a short note explaining how one can compute the Gaussian density of the Kähler-Ricci soliton and the conformally Kähler, Einstein metric on the two point blow-up of the complex projective plane.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009