登入選單
返回Google圖書搜尋
Property ($T$) for Groups Graded by Root Systems
Mikhail ErshovAndrei Jaikin-ZapirainMartin Kassabov
出版American Mathematical Soc., 2017-09-25
主題Mathematics / Algebra / GeneralMathematics / Geometry / Algebraic
ISBN14704260489781470426040
URLhttp://books.google.com.hk/books?id=QJc3DwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋The authors introduce and study the class of groups graded by root systems. They prove that if   is an irreducible classical root system of rank   and   is a group graded by  , then under certain natural conditions on the grading, the union of the root subgroups is a Kazhdan subset of  . As the main application of this theorem the authors prove that for any reduced irreducible classical root system   of rank   and a finitely generated commutative ring   with  , the Steinberg group     and the elementary Chevalley group     have property  . They also show that there exists a group with property   which maps onto all finite simple groups of Lie type and rank  , thereby providing a “unified” proof of expansion in these groups.