|
|
|
|
Third Term of the Lower Autocentral Series ofAbelian Groups
|
|
|
|
|
|
|
|
نویسنده
|
Naghshineh M. ,Moghaddam M. R. R. ,Parvaneh F.
|
|
منبع
|
journal of mathematical extension - 2009 - دوره : 4 - شماره : 1 - صفحه:1 -6
|
|
چکیده
|
Let g be a group and aut(g) be the group of automorphisms of g. then [g,?, ?]= (g-1 g?)-1 (g-1 g?)? is the autocommutator of the element g g and ? , ? aut(g) of weight 3. also, we define k2 (g)=< [g, ?, ?]: g g,? ,? aut(g)> to be the third term of the lower autocentral series of subgroups of g. in this paper, it is shown that every finite abelian group is isomorphic to the third term of the autocentral series of some finite abelian group
|
|
کلیدواژه
|
Autocommutator subgroup ,autocentral series ,abelian group.
|
|
آدرس
|
Islamic Azad University, Jahrom-Branch, Department of Mathematics, ایران, islamic azad university, Department of Mathematics, ایران, islamic azad university, Department of Mathematics, ایران
|
|
پست الکترونیکی
|
foroudparvane@kiau.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|