Let T be a finite p-group. In this paper we introduce a new characteristic subgroup W(T) of T containing \mathbb Z(T). This subgroup allows to give the structure of p-minimal finite groups G of characteristic p with PSL2(p^n)-factor group which satisfy \mathbb Z(T) not normal in G and W(T) not normal in G. This result generalizes a classical pushing up result obtained by Baumann [1] (for p = 2) and Niles [8].
A new characteristic subgroup for pushing up I
Parmeggiani G.
;
2025
Abstract
Let T be a finite p-group. In this paper we introduce a new characteristic subgroup W(T) of T containing \mathbb Z(T). This subgroup allows to give the structure of p-minimal finite groups G of characteristic p with PSL2(p^n)-factor group which satisfy \mathbb Z(T) not normal in G and W(T) not normal in G. This result generalizes a classical pushing up result obtained by Baumann [1] (for p = 2) and Niles [8].
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