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OverviewLet $p$ 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 $L$. Full Product DetailsAuthor: U. Meierfrankenfeld , B. Stellmacher , G. StrothPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.506kg ISBN: 9781470418779ISBN 10: 1470418770 Pages: 342 Publication Date: 30 June 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Chapter 1. Definitions and Preliminary Results Chapter 2. The Case Subdivision and Preliminary Results Chapter 3. The Orthogonal Groups Chapter 4. The Symmetric Case Chapter 5. The Short Asymmetric Case Chapter 6. The Tall charpcharp-Short Asymmetric Case Chapter 7. The charpcharp-Tall QQ-Short Asymmetric Case Chapter 8. The QQ-Tall Asymmetric Case I Chapter 9. The QQ-tall Asymmetric Case II Chapter 10. Proof of the Local Structure Theorem Appendix A. Module theoretic Definitions and Results Appendix B. Classical Spaces and Classical Groups Appendix C. FF-Module Theorems and Related Results Appendix D. The Fitting Submodule Appendix E. The Amalgam Method BibliographyReviewsAuthor InformationU. Meierfrankenfeld, Michigan State University, East Lansing, MI, USA. B. Stellmacher, Christian-Albrechts-University of Kiel, Germany. G. Stroth, Martin-Luther-Unversitat Halle-Wittenberg, Germany. Tab Content 6Author Website:Countries AvailableAll regions |
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