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Orders of inner-diagonal automorphisms of some simple groups of Lie type

  • Alexander A. Buturlakin and Maria A. Grechkoseeva EMAIL logo
Published/Copyright: July 27, 2022
Journal of Group Theory
From the journal Journal of Group Theory Volume 26 Issue 1

Abstract

We refer to the set of element orders of a finite group 𝐺 as the spectrum of 𝐺. For the simple groups PSL n ⁢ ( q ) , PSU n ⁢ ( q ) , E 6 ⁢ ( q ) , and E 6 2 ⁢ ( q ) , we describe the spectra of extensions of these groups by diagonal automorphisms.

Funding source: Russian Academy of Sciences

Award Identifier / Grant number: FWNF-2022-000

Funding statement: This work was supported by RAS Fundamental Research Program, project FWNF-2022-000.

Acknowledgements

  1. Communicated by: Christopher W. Parker

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Received: 2021-11-21
Revised: 2022-05-06
Published Online: 2022-07-27
Published in Print: 2023-01-01

© 2022 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Some simple biset functors
  3. Explicit universal minimal constants for polynomial growth of groups
  4. Shift dynamics of the groups of Fibonacci type
  5. Finitely generated subgroups and Chabauty topology in totally disconnected locally compact groups
  6. The number of set-orbits of a solvable permutation group
  7. On finite 𝜎-tower groups
  8. Orders of inner-diagonal automorphisms of some simple groups of Lie type
  9. The Lie algebra structure of the degree one Hochschild cohomology of the blocks of the sporadic Mathieu groups
  10. M, B and Co1 are recognisable by their prime graphs
https://doi.org/10.1515/jgth-2021-0192

Articles in the same Issue

  1. Frontmatter
  2. Some simple biset functors
  3. Explicit universal minimal constants for polynomial growth of groups
  4. Shift dynamics of the groups of Fibonacci type
  5. Finitely generated subgroups and Chabauty topology in totally disconnected locally compact groups
  6. The number of set-orbits of a solvable permutation group
  7. On finite 𝜎-tower groups
  8. Orders of inner-diagonal automorphisms of some simple groups of Lie type
  9. The Lie algebra structure of the degree one Hochschild cohomology of the blocks of the sporadic Mathieu groups
  10. M, B and Co1 are recognisable by their prime graphs
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