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Local Structure for Finite Groups with a Large $p$-Subgroup

Häftad, Engelska, 2016

Av U. Meierfrankenfeld, B. Stellmacher, G. Stroth

1 639 kr

Slutsåld

Let $p$ be a prime, $G$ a finite $\mathcal{K}_p$-group $S$ a Sylow $p$-subgroup of $G$ and $Q$ a large subgroup of $G$ in $S$ (i.e., $C_G(Q) \leq Q$ and $N_G(U) \leq N_G(Q)$ for $1 \ne U \leq C_G(Q)$). Let $L$ be any subgroup of $G$ with $S\leq L$, $O_p(L)\neq 1$ and $Q\ntrianglelefteq L$. In this paper the authors determine the action of $L$ on the largest elementary abelian normal $p$-reduced $p$-subgroup $Y_L$ of $L$.

Produktinformation

  • Utgivningsdatum2016-06-30
  • Mått178 x 254 x undefined mm
  • Vikt506 g
  • FormatHäftad
  • SpråkEngelska
  • SerieMemoirs of the American Mathematical Society
  • Antal sidor342
  • FörlagAmerican Mathematical Society
  • ISBN9781470418779