The 3-modular character table of the automorphism group of the sporadic simple O’nan group

Klaus M Lux, Alexander Ryba

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We compute the 3-modular character table of the group O N. 2. Much of the table is deduced character theoretically from the known 3-modular character table of the sporadic simple O’Nan group O N. We finish the remaining questions module theoretically with an application of condensation.

Original languageEnglish (US)
Title of host publicationAdvances in Algebra - SRAC 2017
EditorsLauren Grimley, Jörg Feldvoss, Drew Lewis, Cornelius Pillen, Andrei Pavelescu
PublisherSpringer New York LLC
Pages239-253
Number of pages15
ISBN (Print)9783030115203
DOIs
Publication statusPublished - Jan 1 2019
EventSouthern Regional Algebra Conference, SRAC 2017 - Mobile, United States
Duration: Mar 17 2017Mar 19 2017

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume277
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceSouthern Regional Algebra Conference, SRAC 2017
CountryUnited States
CityMobile
Period3/17/173/19/17

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Keywords

  • ATLAS project
  • Automorphism group
  • Modular character
  • Sporadic simple group

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Lux, K. M., & Ryba, A. (2019). The 3-modular character table of the automorphism group of the sporadic simple O’nan group. In L. Grimley, J. Feldvoss, D. Lewis, C. Pillen, & A. Pavelescu (Eds.), Advances in Algebra - SRAC 2017 (pp. 239-253). (Springer Proceedings in Mathematics and Statistics; Vol. 277). Springer New York LLC. https://doi.org/10.1007/978-3-030-11521-0_12