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   minimal non-abelian groups with an average condition on subgroups  
   
نویسنده taeri bijan ,tooshmalani ziba
منبع journal of mahani mathematical research - 2025 - دوره : 14 - شماره : 1 - صفحه:387 -397
چکیده    For a finite group g, the average order o(g) is defined to be the average of all order elements in g. we say that g satisfies the average condition if o(h)leq o(g) for all subgroups h of g. in [on a question of jaikin-zapirain about the average order elements of finite groups, int. j. group theory, to appear] we proved that every abelian group satisfies the average condition. in this paper, we classify minimal non-abelian groups which satisfy the average condition.
کلیدواژه minimal non-abelian groups، ‎group element orders، ‎sum of element orders، ‎average condition
آدرس isfahan university of technology, department of mathematical sciences, iran, isfahan university of technology, department of mathematical sciences, iran
پست الکترونیکی tooshmalaniziba@gmail.com
 
     
   
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