Strongly p-embedded subgroups
Chris Parker, Gernot Stroth
TL;DR
This paper investigates finite groups with strongly p-embedded subgroups for odd primes p, aiming to aid in classifying simple groups with local characteristic p.
Contribution
It introduces new results on the structure of groups with strongly p-embedded subgroups, advancing the classification of simple groups.
Findings
Characterization of groups with strongly p-embedded subgroups
Applications to classifying simple groups of local characteristic p
Structural properties of such groups
Abstract
We study finite groups which possess a strongly p-embedded subgroup for some odd prime p. The main results of the paper will be applied in the ongoing project to classify the simple groups of local characteristic p.
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Taxonomy
TopicsFinite Group Theory Research · graph theory and CDMA systems · Rings, Modules, and Algebras