Centralisers of finite groups in locally finite simple groups
نویسندگان
چکیده
We answer in the negative a question of Hartley about representations finite groups, by constructing examples simple groups with arbitrarily large whose endomorphism ring consists just scalars. show as consequence that there are automorphisms locally group SL(∞,Fq) trivial centralizer. The smallest our is A6 q=9.
منابع مشابه
centralizers in simple locally finite groups
this is a survey article on centralizers of finite subgroups in locally finite, simple groups or lfs-groups as we will call them. we mention some of the open problems about centralizers of subgroups in lfs-groups and applications of the known information about the centralizers of subgroups to the structure of the locally finite group. we also prove the following: let $g$ be...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2023
ISSN: ['1532-4125', '0092-7872']
DOI: https://doi.org/10.1080/00927872.2023.2217255