Finite groups with Hall 2-maximal subgroups
M.N. Konovalova, V.S. Monakhov
TL;DR
This paper investigates finite groups where every 2-maximal subgroup is a Hall subgroup, aiming to classify and understand their structural properties.
Contribution
It introduces a classification of finite groups with the property that all 2-maximal subgroups are Hall subgroups, providing new insights into their structure.
Findings
Characterization of such groups
Identification of structural properties
Conditions under which the property holds
Abstract
In this paper, we study a group in which every 2-maximal subgroup is a Hall subgroup.
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · Geometric and Algebraic Topology