Minimal normal subgroups of transitive permutation groups of square-free degree

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Normal Subgroups of Triply Transitive Permutation Groups of Degree Divisible by 3

This result has been refined considerably by a number of authors. Wietandt and Huppert [14] introduced the notion of multiple primitivity and (t+ 89 transitivity. Wagner [13] showed that H is in fact t-fold transitive if n t is an even number and t > 3, and Saxl [8] proved that this is also true if t > 4 and n < 106. The only known examples of triply transitive groups with only doubly transitiv...

متن کامل

Transitive Permutation Groups without Semiregular Subgroups

A transitive finite permutation group is called elusive if it contains no nontrivial semiregular subgroup. The purpose of the paper is to collect known information about elusive groups. The main results are recursive constructions of elusive permutation groups, using various product operations and affine group constructions. A brief historical introduction and a survey of known elusive groups a...

متن کامل

The Transitive Permutation Groups of Degree 32

We describe our successful computation of a list of representatives of the 2 801 324 conjugacy classes of transitive groups of degree 32.

متن کامل

Transitive Permutation Groups of Prime-Squared Degree

We explicitly determine all of the transitive groups of degree p2, p a prime, whose Sylow p-subgroup is not isomorphic to the wreath product Z p Z p . Furthermore, we provide a general description of the transitive groups of degree p2 whose Sylow p-subgroup is isomorphic to Z p Z p , and explicitly determine most of them. As applications, we solve the Cayley Isomorphism problem for Cayley objec...

متن کامل

Permutation groups and normal subgroups

Various descending chains of subgroups of a finite permutation group can be used to define a sequence of 'basic' permutation groups that are analogues of composition factors for abstract finite groups. Primitive groups have been the traditional choice for this purpose, but some combinatorial applications require different kinds of basic groups, such as quasiprimitive groups, that are defined by...

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

ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2007

ISSN: 0012-365X

DOI: 10.1016/j.disc.2005.09.029