Title of article :
Tits alternative for maximal subgroups of GLn(D)
Author/Authors :
M. Mahdavi-Hezavehi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Pages :
11
From page :
518
To page :
528
Abstract :
Let D be a noncommutative division algebra of finite dimension over its centre F. Given a maximal subgroup M of GLn(D) with n 1, it is proved that either M contains a noncyclic free subgroup or there exists a finite family {Ki}r1 of fields properly containing F with K*i M for all 1 i r such that M/A is finite if CharF=0 and M/A is locally finite if CharF=p>0, where A=K*1× ×K*r.
Keywords :
division ring , free subgroup , maximal subgroup
Journal title :
Journal of Algebra
Serial Year :
2004
Journal title :
Journal of Algebra
Record number :
696483
Link To Document :
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