Form equivalence class Howard-Rubin Number: 62
Statement:
For every prime \(p\), if \(\{\,G_y : y\in Y\,\}\) is a set of finite groups, then the weak direct product \(\prod_{y\in Y} G_y\) has a maximal \(p\)-subgroup. \ac{Howard/Yorke} \cite{1987} and note 24.
Howard-Rubin number: 62 C
Citations (articles):
Howard/Yorke [1987]
Maximal p-subgroups and the axiom of choice
Connections (notes):
Note [24]
This note contains some definitions from group
theory that are used in \(\cal M22\), and forms [62 C], [62 D], [67 D], Form 180, and Form 308\((p)\)
References (books):
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