Cross characteristic representations of 3D4(q) are reducible over proper subgroups

Hung Ngoc Nguyen; Pham Huu Tiep; Frank Himstedt

doi:10.1515/JGT.2008.041

Cross characteristic representations of ³D₄(q) are reducible over proper subgroups

Hung Ngoc Nguyen, Pham Huu Tiep, Frank Himstedt

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

5 Scopus citations

Abstract

We prove that the restriction of any absolutely irreducible representation of Steinberg's triality groups ³D₄(q) in characteristic coprime to q to any proper subgroup is reducible.

Original language	English (US)
Pages (from-to)	657-668
Number of pages	12
Journal	Journal of Group Theory
Volume	11
Issue number	5
DOIs	https://doi.org/10.1515/JGT.2008.041
State	Published - Sep 2008
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1515/JGT.2008.041

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@article{16f6dc7242c4444ebc0763371f16b02e,

title = "Cross characteristic representations of 3D4(q) are reducible over proper subgroups",

abstract = "We prove that the restriction of any absolutely irreducible representation of Steinberg's triality groups 3D4(q) in characteristic coprime to q to any proper subgroup is reducible.",

author = "Nguyen, \{Hung Ngoc\} and Tiep, \{Pham Huu\} and Frank Himstedt",

note = "Funding Information: The second author gratefully acknowledges the support of the NSF (grant DMS-0600967).",

year = "2008",

month = sep,

doi = "10.1515/JGT.2008.041",

language = "English (US)",

volume = "11",

pages = "657--668",

journal = "Journal of Group Theory",

issn = "1433-5883",

publisher = "Walter de Gruyter GmbH",

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TY - JOUR

T1 - Cross characteristic representations of 3D4(q) are reducible over proper subgroups

AU - Nguyen, Hung Ngoc

AU - Tiep, Pham Huu

AU - Himstedt, Frank

N1 - Funding Information: The second author gratefully acknowledges the support of the NSF (grant DMS-0600967).

PY - 2008/9

Y1 - 2008/9

N2 - We prove that the restriction of any absolutely irreducible representation of Steinberg's triality groups 3D4(q) in characteristic coprime to q to any proper subgroup is reducible.

AB - We prove that the restriction of any absolutely irreducible representation of Steinberg's triality groups 3D4(q) in characteristic coprime to q to any proper subgroup is reducible.

UR - https://www.scopus.com/pages/publications/52449129497

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U2 - 10.1515/JGT.2008.041

DO - 10.1515/JGT.2008.041

M3 - Article

AN - SCOPUS:52449129497

SN - 1433-5883

VL - 11

SP - 657

EP - 668

JO - Journal of Group Theory

JF - Journal of Group Theory

IS - 5

ER -

Cross characteristic representations of ³D₄(q) are reducible over proper subgroups

Abstract

ASJC Scopus subject areas

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