The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup

U. Meierfrankenfeld · Christian-Albrechts-University of Kiel, Kiel, Germany, · G. Stroth

Jun 2016 · American Mathematical Soc.

About this eBook

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.

About the author

U. Meierfrankenfeld: Michigan State University, East Lansing, MI,
B. Stellmacher: Christian-Albrechts-University of Kiel, Kiel, Germany,
G. Stroth: Martin-Luther-Unversität Halle-Wittenberg, Germany