Local Structure Theorem for Finite Groups With a Large $p$-Subgroup (eBook)

U Meierfrankenfeld (Autor)

eBook Download: PDF

2016
342 Seiten
American Mathematical Society (Verlag)
978-1-4704-2948-5 (ISBN)

Infos

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 $L$.

Produkt-Details

• Erscheint lt. Verlag: 6.10.2016
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-2948-9 / 1470429489
• ISBN-13: 978-1-4704-2948-5 / 9781470429485