The admissibility of M11 over number fields

Joachim König; Danny Neftin

doi:10.1016/j.jpaa.2017.09.022

The admissibility of M₁₁ over number fields

Joachim König, Danny Neftin

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

A group G is Q-admissible if there exists a G-crossed product division algebra over Q. The Q-admissibility conjecture asserts that every group with metacyclic Sylow subgroups is Q-admissible. We prove that the Mathieu group M₁₁ is Q-admissible, in contrast to any other sporadic group.

Original language	English
Pages (from-to)	2456-2464
Number of pages	9
Journal	Journal of Pure and Applied Algebra
Volume	222
Issue number	9
DOIs	https://doi.org/10.1016/j.jpaa.2017.09.022
State	Published - Sep 2018

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1016/j.jpaa.2017.09.022

Cite this

@article{78d11303badf46668a68d3eab2c636c4,

title = "The admissibility of M11 over number fields",

abstract = "A group G is Q-admissible if there exists a G-crossed product division algebra over Q. The Q-admissibility conjecture asserts that every group with metacyclic Sylow subgroups is Q-admissible. We prove that the Mathieu group M11 is Q-admissible, in contrast to any other sporadic group.",

author = "Joachim K{\"o}nig and Danny Neftin",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2018",

month = sep,

doi = "10.1016/j.jpaa.2017.09.022",

language = "الإنجليزيّة",

volume = "222",

pages = "2456--2464",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "9",

}

TY - JOUR

T1 - The admissibility of M11 over number fields

AU - König, Joachim

AU - Neftin, Danny

PY - 2018/9

Y1 - 2018/9

N2 - A group G is Q-admissible if there exists a G-crossed product division algebra over Q. The Q-admissibility conjecture asserts that every group with metacyclic Sylow subgroups is Q-admissible. We prove that the Mathieu group M11 is Q-admissible, in contrast to any other sporadic group.

AB - A group G is Q-admissible if there exists a G-crossed product division algebra over Q. The Q-admissibility conjecture asserts that every group with metacyclic Sylow subgroups is Q-admissible. We prove that the Mathieu group M11 is Q-admissible, in contrast to any other sporadic group.

UR - http://www.scopus.com/inward/record.url?scp=85030031053&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2017.09.022

DO - 10.1016/j.jpaa.2017.09.022

M3 - مقالة

SN - 0022-4049

VL - 222

SP - 2456

EP - 2464

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 9

ER -

The admissibility of M₁₁ over number fields

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this