Abstract
It is proved that every linear discriminating (square-like) group is abelian and every finitely generated solvable discriminating group is free abelian. These results follow from manipulations with c-dimensions of groups; the c-dimension of a group G is the length of a longest strictly decreasing chain of centralizers in G.
Original language | English |
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Pages (from-to) | 135-142 |
Number of pages | 8 |
Journal | Journal of Group Theory |
Volume | 7 |
Issue number | 1 |
State | Published - 2004 |