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   subgroups of arbitrary even ordinary depth  
   
نویسنده janabi hayder abbas ,breuer thomas ,horváth erzsébet
منبع international journal of group theory - 2021 - دوره : 10 - شماره : 4 - صفحه:159 -166
چکیده    We show that for each positive integer n, there exist a group g and a subgroup h such that the ordinary depth d(h, g) is 2n. this solves the open problem posed by lars kadison whether even ordinary depth larger than 6 can occur.
کلیدواژه : ordinary depth of a subgroup ,distance of characters ,cartesian product of graphs ,wreath product
آدرس budapest university of technology and economics, department of algebra, hungary. university of kufa, faculty of dentistry, department of basic sciences, iraq, rwth aachen university, germany, budapest university of technology and economics, department of algebra, hungary
پست الکترونیکی he@math.bme.hu
 
     
   
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