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Z .JOURNAL OF ALGEBRA 210, 352 360 1998 ARTICLE NO. JA987551
 

Summary: Z .JOURNAL OF ALGEBRA 210, 352 360 1998
ARTICLE NO. JA987551
Z .Bounds on Orders of Finite Subgroups of PGL Kn
Eli AljadeffU
and
Jack Sonn
Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel
Communicated by Walter Feit
Received March 15, 1998
Z .We characterize the pairs K, n , K a field, n a positive integer, for which there
Z .is a bound on the orders of finite subgroups of PGL K . Explicit bounds are givenn
in important cases. An application is made to the analogous problem for central
simple K-algebras of degree n. 1998 Academic Press
1. INTRODUCTION
Z .Let K be a field, n an integer ) 1, GL K the group of invertiblen
Z . Z . U
n = n matrices over K, PGL K s GL K rK . Is there a bound on then n
Z . Z .orders of the finite subgroups of GL K ? of PGL K ? Obviously then n
answer depends on K, because the answer is no if K contains infinitely
many roots of unity. The answer is also no if K is an infinite field of

  

Source: Aljadeff, Eli - Department of Mathematics, Technion, Israel Institute of Technology

 

Collections: Mathematics