---
_id: '45854'
abstract:
- lang: eng
  text: In a previous paper the authors developed an algorithm to classify certain
    quaternary quadratic lattices over totally real fields. The present article applies
    this algorithm to the classification of binary Hermitian lattices over totally
    imaginary fields. We use it in particular to classify the 48-dimensional extremal
    even unimodular lattices over the integers that admit a semilarge automorphism.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: Gabriele
  full_name: Nebe, Gabriele
  last_name: Nebe
citation:
  ama: Kirschmer M, Nebe G. Binary Hermitian Lattices over Number Fields. <i>Experimental
    Mathematics</i>. 2022;31(1):280-301. doi:<a href="https://doi.org/10.1080/10586458.2019.1618756">10.1080/10586458.2019.1618756</a>
  apa: Kirschmer, M., &#38; Nebe, G. (2022). Binary Hermitian Lattices over Number
    Fields. <i>Experimental Mathematics</i>, <i>31</i>(1), 280–301. <a href="https://doi.org/10.1080/10586458.2019.1618756">https://doi.org/10.1080/10586458.2019.1618756</a>
  bibtex: '@article{Kirschmer_Nebe_2022, title={Binary Hermitian Lattices over Number
    Fields}, volume={31}, DOI={<a href="https://doi.org/10.1080/10586458.2019.1618756">10.1080/10586458.2019.1618756</a>},
    number={1}, journal={Experimental Mathematics}, publisher={Informa UK Limited},
    author={Kirschmer, Markus and Nebe, Gabriele}, year={2022}, pages={280–301} }'
  chicago: 'Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over
    Number Fields.” <i>Experimental Mathematics</i> 31, no. 1 (2022): 280–301. <a
    href="https://doi.org/10.1080/10586458.2019.1618756">https://doi.org/10.1080/10586458.2019.1618756</a>.'
  ieee: 'M. Kirschmer and G. Nebe, “Binary Hermitian Lattices over Number Fields,”
    <i>Experimental Mathematics</i>, vol. 31, no. 1, pp. 280–301, 2022, doi: <a href="https://doi.org/10.1080/10586458.2019.1618756">10.1080/10586458.2019.1618756</a>.'
  mla: Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number
    Fields.” <i>Experimental Mathematics</i>, vol. 31, no. 1, Informa UK Limited,
    2022, pp. 280–301, doi:<a href="https://doi.org/10.1080/10586458.2019.1618756">10.1080/10586458.2019.1618756</a>.
  short: M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301.
date_created: 2023-07-04T08:28:04Z
date_updated: 2023-07-04T08:29:22Z
department:
- _id: '102'
doi: 10.1080/10586458.2019.1618756
intvolume: '        31'
issue: '1'
keyword:
- General Mathematics
language:
- iso: eng
page: 280-301
publication: Experimental Mathematics
publication_identifier:
  issn:
  - 1058-6458
  - 1944-950X
publication_status: published
publisher: Informa UK Limited
status: public
title: Binary Hermitian Lattices over Number Fields
type: journal_article
user_id: '93826'
volume: 31
year: '2022'
...
---
_id: '42798'
abstract:
- lang: eng
  text: This paper classifies the maximal finite subgroups of SP₂ₙ(Q) for 1⩽n⩽11 up
    to GL₂ₙ(Q) conjugacy in .
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
citation:
  ama: Kirschmer M. Finite Symplectic Matrix Groups. <i>Experimental Mathematics</i>.
    2011;20(2):217-228. doi:<a href="https://doi.org/10.1080/10586458.2011.564964">10.1080/10586458.2011.564964</a>
  apa: Kirschmer, M. (2011). Finite Symplectic Matrix Groups. <i>Experimental Mathematics</i>,
    <i>20</i>(2), 217–228. <a href="https://doi.org/10.1080/10586458.2011.564964">https://doi.org/10.1080/10586458.2011.564964</a>
  bibtex: '@article{Kirschmer_2011, title={Finite Symplectic Matrix Groups}, volume={20},
    DOI={<a href="https://doi.org/10.1080/10586458.2011.564964">10.1080/10586458.2011.564964</a>},
    number={2}, journal={Experimental Mathematics}, publisher={Informa UK Limited},
    author={Kirschmer, Markus}, year={2011}, pages={217–228} }'
  chicago: 'Kirschmer, Markus. “Finite Symplectic Matrix Groups.” <i>Experimental
    Mathematics</i> 20, no. 2 (2011): 217–28. <a href="https://doi.org/10.1080/10586458.2011.564964">https://doi.org/10.1080/10586458.2011.564964</a>.'
  ieee: 'M. Kirschmer, “Finite Symplectic Matrix Groups,” <i>Experimental Mathematics</i>,
    vol. 20, no. 2, pp. 217–228, 2011, doi: <a href="https://doi.org/10.1080/10586458.2011.564964">10.1080/10586458.2011.564964</a>.'
  mla: Kirschmer, Markus. “Finite Symplectic Matrix Groups.” <i>Experimental Mathematics</i>,
    vol. 20, no. 2, Informa UK Limited, 2011, pp. 217–28, doi:<a href="https://doi.org/10.1080/10586458.2011.564964">10.1080/10586458.2011.564964</a>.
  short: M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.
date_created: 2023-03-07T08:36:46Z
date_updated: 2023-04-04T09:24:42Z
department:
- _id: '102'
doi: 10.1080/10586458.2011.564964
extern: '1'
intvolume: '        20'
issue: '2'
keyword:
- General Mathematics
language:
- iso: eng
page: 217-228
publication: Experimental Mathematics
publication_identifier:
  issn:
  - 1058-6458
  - 1944-950X
publication_status: published
publisher: Informa UK Limited
status: public
title: Finite Symplectic Matrix Groups
type: journal_article
user_id: '93826'
volume: 20
year: '2011'
...