The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup
Download or Read eBook The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup PDF written by U. Meierfrankenfeld and published by American Mathematical Soc.. This book was released on 2016-06-21 with total page 356 pages. Available in PDF, EPUB and Kindle.
| Author | : U. Meierfrankenfeld |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 356 |
| Release | : 2016-06-21 |
| ISBN-10 | : 9781470418779 |
| ISBN-13 | : 1470418770 |
| Rating | : 4/5 (79 Downloads) |
Book Synopsis The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup by : U. Meierfrankenfeld
Book excerpt: Let p be a prime, G a finite Kp-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., CG(Q)≤Q and NG(U)≤NG(Q) for 1≠U≤CG(Q)). Let L be any subgroup of G with S≤L, Op(L)≠1 and Q⋬L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup YL of L.
