Title of article
On Core-2 Groups
Author/Authors
Giovanni Cutolo، نويسنده , , Howard Smith، نويسنده , , James Wiegold، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
29
From page
813
To page
841
Abstract
A group G is core-2 if and only if H/HG ≤ 2 for every H ≤ G. We prove that every core-2 nilpotent 2-group of class 2 has an abelian subgroup of index at most 4. This bound is the best possible. As a consequence, every 2-group satisfying the property core-2 has an abelian subgroup of index at most 16.
Keywords
finite 2-groups , Normal subgroups , Breadth , normal core
Journal title
Journal of Algebra
Serial Year
2001
Journal title
Journal of Algebra
Record number
695379
Link To Document