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Mathematical Notes· 2026Q2

On Recognition of Simple Groups with Disconnected Prime Graph by Spectrum

Viktor Panshin

Short summary

This paper completes the classification of finite groups isospectral to finite simple groups with disconnected prime graphs.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Defines isospectral finite groups as those with identical sets of element orders.
  • Focuses on finite simple groups with disconnected prime graphs.
  • Completes the description/classification of these specific isospectral groups.

AI-generated from the title and abstract; the full text is not read.

Abstract

Abstract Finite groups are said to be isospectral if the sets of orders of their elements coincide. This paper completes the description of finite groups that are isospectral to finite simple groups with disconnected prime graphs.

The authors' abstract, as published at the source. Mathematical Notes, 2026 · DOI ↗

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics