Realization of Permutation Modules via Alexandroff Spaces
Realization of Permutation Modules via Alexandroff Spaces
Abstract We raise the question of the realizability of permutation modules in the context of Kahnās realizability problem for abstract groups and the G -Moore space problem. Specifically, given a finite group G , we consider a collection $$\{M_i\}_{i=1}^n$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mrow> <mml:mo>{</mml:mo> <mml:msub> <mml:mi>M</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mo>}</mml:mo> </mml:mrow> ā¦