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In the original version of this article, a group was defined to be an M-group if "G/C_G(F(G)) is nilpotent". I have found no sources backing up this claim, and many sources backing up the two definitions provided now. I deleted the original definition as unsourced. To demonstrate it is not just equivalent to a standard definition, here are some remarks. I will call a group a VM-group if G/C_G(F(G)) is nilpotent.
Firstly "VM" and "monomial" are not equivalent, and only mildly related:
Secondly, "VM" and "modular" are not equivalent:
At any rate, the VM definition appears to be unsourceable, but I left it here in case someone wants to give it a try. JackSchmidt ( talk) 23:38, 12 February 2008 (UTC)
Disambiguation | ||||
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In the original version of this article, a group was defined to be an M-group if "G/C_G(F(G)) is nilpotent". I have found no sources backing up this claim, and many sources backing up the two definitions provided now. I deleted the original definition as unsourced. To demonstrate it is not just equivalent to a standard definition, here are some remarks. I will call a group a VM-group if G/C_G(F(G)) is nilpotent.
Firstly "VM" and "monomial" are not equivalent, and only mildly related:
Secondly, "VM" and "modular" are not equivalent:
At any rate, the VM definition appears to be unsourceable, but I left it here in case someone wants to give it a try. JackSchmidt ( talk) 23:38, 12 February 2008 (UTC)