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July 13, 2026Monatshefte für MathematikOpen Access

Class-preserving Coleman automorphisms of finite groups with Wreathed Sylow 2-subgroups

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Authors

RARiccardo Aragona

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Overview

Randomized trial investigates automorphism groups in finite groups, indicating impact on group classification.

Key Points

  • This research aims to explore class-preserving Coleman automorphisms in finite groups with specific Sylow 2-subgroups.
  • Analysis of the intersection of outer automorphism groups for finite groups
  • Consideration of wreathed 2-groups and their properties
  • Comparison with known classifications of finite simple groups
  • The intersection of Out_c(G) and Out_Col(G) has odd order, confirming properties of wreathed groups
  • This work completes classification results for all finite groups with Sylow 2-subgroups of 2-rank two
  • Establishes a clearer understanding of the behavior of automorphisms in these group structures.

Cite This Study

Riccardo Aragona (2026) studied this question.

synapsesocial.com/papers/6a548219475c38bf615a5c13https://doi.org/10.1007/s00605-026-02203-4
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