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Endotrivial modules for the symmetric and alternating groups.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Endotrivial modules for the symmetric and alternating groups. / Carlson, Jon; Mazza, Nadia; Nakano, Daniel.
In: Proceedings of the Edinburgh Mathematical Society, Vol. 52, No. 1, 02.2009, p. 45-66.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Carlson, J, Mazza, N & Nakano, D 2009, 'Endotrivial modules for the symmetric and alternating groups.', Proceedings of the Edinburgh Mathematical Society, vol. 52, no. 1, pp. 45-66. https://doi.org/10.1017/S0013091506001179

APA

Carlson, J., Mazza, N., & Nakano, D. (2009). Endotrivial modules for the symmetric and alternating groups. Proceedings of the Edinburgh Mathematical Society, 52(1), 45-66. https://doi.org/10.1017/S0013091506001179

Vancouver

Carlson J, Mazza N, Nakano D. Endotrivial modules for the symmetric and alternating groups. Proceedings of the Edinburgh Mathematical Society. 2009 Feb;52(1):45-66. doi: 10.1017/S0013091506001179

Author

Carlson, Jon ; Mazza, Nadia ; Nakano, Daniel. / Endotrivial modules for the symmetric and alternating groups. In: Proceedings of the Edinburgh Mathematical Society. 2009 ; Vol. 52, No. 1. pp. 45-66.

Bibtex

@article{e59e145e85d34b31ac22ddeb66b43c8f,
title = "Endotrivial modules for the symmetric and alternating groups.",
abstract = "In this paper we determine the group of endotrivial modules for certain symmetric and alternating groups in characteristic $p$. If $p=2$, then the group is generated by the class of $\Omega^n(k)$ except in a few low degrees. If $p >2$, then the group is only determined for degrees less than $p^2$. In these cases we show that there are several Young modules which are endotrivial.",
keywords = "endotrivial modules, Young modules, symmetric groups, alternating groups",
author = "Jon Carlson and Nadia Mazza and Daniel Nakano",
note = "http://journals.cambridge.org/action/displayJournal?jid=UHY The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society, {\textcopyright} Cambridge University Press.",
year = "2009",
month = feb,
doi = "10.1017/S0013091506001179",
language = "English",
volume = "52",
pages = "45--66",
journal = "Proceedings of the Edinburgh Mathematical Society",
issn = "0013-0915",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Endotrivial modules for the symmetric and alternating groups.

AU - Carlson, Jon

AU - Mazza, Nadia

AU - Nakano, Daniel

N1 - http://journals.cambridge.org/action/displayJournal?jid=UHY The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society, © Cambridge University Press.

PY - 2009/2

Y1 - 2009/2

N2 - In this paper we determine the group of endotrivial modules for certain symmetric and alternating groups in characteristic $p$. If $p=2$, then the group is generated by the class of $\Omega^n(k)$ except in a few low degrees. If $p >2$, then the group is only determined for degrees less than $p^2$. In these cases we show that there are several Young modules which are endotrivial.

AB - In this paper we determine the group of endotrivial modules for certain symmetric and alternating groups in characteristic $p$. If $p=2$, then the group is generated by the class of $\Omega^n(k)$ except in a few low degrees. If $p >2$, then the group is only determined for degrees less than $p^2$. In these cases we show that there are several Young modules which are endotrivial.

KW - endotrivial modules

KW - Young modules

KW - symmetric groups

KW - alternating groups

U2 - 10.1017/S0013091506001179

DO - 10.1017/S0013091506001179

M3 - Journal article

VL - 52

SP - 45

EP - 66

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 1

ER -