Carter subgroups of finite groups
Vdovin Evgenii
TL;DR
This paper proves that Carter subgroups in finite groups are conjugate and provides a complete classification of these subgroups within finite almost simple groups.
Contribution
It establishes the conjugacy of Carter subgroups and classifies them in finite almost simple groups, advancing understanding of their structure.
Findings
Carter subgroups are conjugate in finite groups
Complete classification of Carter subgroups in finite almost simple groups
Enhanced understanding of subgroup structure in finite groups
Abstract
In the paper it is proven that Carter subgroups of a finite group are conjugate. A complete classification of Carter subgroups in finite almost simple groups is also obtained.
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Taxonomy
TopicsMaterial Properties and Applications · Structural mechanics and materials · Advanced Theoretical and Applied Studies in Material Sciences and Geometry