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
StatePublished - 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

Fingerprint

Character Table
Sporadic Simple Groups
Automorphism Group
Condensation
Table
Module
Character

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

The 3-modular character table of the automorphism group of the sporadic simple O’nan group. / Lux, Klaus M; Ryba, Alexander.

Advances in Algebra - SRAC 2017. ed. / Lauren Grimley; Jörg Feldvoss; Drew Lewis; Cornelius Pillen; Andrei Pavelescu. Springer New York LLC, 2019. p. 239-253 (Springer Proceedings in Mathematics and Statistics; Vol. 277).

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

Lux, KM & 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. Springer Proceedings in Mathematics and Statistics, vol. 277, Springer New York LLC, pp. 239-253, Southern Regional Algebra Conference, SRAC 2017, Mobile, United States, 3/17/17. https://doi.org/10.1007/978-3-030-11521-0_12
Lux KM, Ryba A. The 3-modular character table of the automorphism group of the sporadic simple O’nan group. In Grimley L, Feldvoss J, Lewis D, Pillen C, Pavelescu A, editors, Advances in Algebra - SRAC 2017. Springer New York LLC. 2019. p. 239-253. (Springer Proceedings in Mathematics and Statistics). https://doi.org/10.1007/978-3-030-11521-0_12
Lux, Klaus M ; Ryba, Alexander. / The 3-modular character table of the automorphism group of the sporadic simple O’nan group. Advances in Algebra - SRAC 2017. editor / Lauren Grimley ; Jörg Feldvoss ; Drew Lewis ; Cornelius Pillen ; Andrei Pavelescu. Springer New York LLC, 2019. pp. 239-253 (Springer Proceedings in Mathematics and Statistics).
@inproceedings{35b9b3c5fb6247b09e97069d138fb567,
title = "The 3-modular character table of the automorphism group of the sporadic simple O’nan group",
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.",
keywords = "ATLAS project, Automorphism group, Modular character, Sporadic simple group",
author = "Lux, {Klaus M} and Alexander Ryba",
year = "2019",
month = "1",
day = "1",
doi = "10.1007/978-3-030-11521-0_12",
language = "English (US)",
isbn = "9783030115203",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "239--253",
editor = "Lauren Grimley and J{\"o}rg Feldvoss and Drew Lewis and Cornelius Pillen and Andrei Pavelescu",
booktitle = "Advances in Algebra - SRAC 2017",

}

TY - GEN

T1 - The 3-modular character table of the automorphism group of the sporadic simple O’nan group

AU - Lux, Klaus M

AU - Ryba, Alexander

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - ATLAS project

KW - Automorphism group

KW - Modular character

KW - Sporadic simple group

UR - http://www.scopus.com/inward/record.url?scp=85063042755&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063042755&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-11521-0_12

DO - 10.1007/978-3-030-11521-0_12

M3 - Conference contribution

SN - 9783030115203

T3 - Springer Proceedings in Mathematics and Statistics

SP - 239

EP - 253

BT - Advances in Algebra - SRAC 2017

A2 - Grimley, Lauren

A2 - Feldvoss, Jörg

A2 - Lewis, Drew

A2 - Pillen, Cornelius

A2 - Pavelescu, Andrei

PB - Springer New York LLC

ER -