On the Navarro-Willems conjecture for blocks of finite groups

C. Bessenrodt; G. Navarro; J. B. Olsson; P. H. Tiep

doi:10.1016/j.jpaa.2006.01.013

On the Navarro-Willems conjecture for blocks of finite groups

C. Bessenrodt
, G. Navarro
, J. B. Olsson
, P. H. Tiep

Mathematics

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

15 Scopus citations

Abstract

We prove that a set of characters of a finite group can only be the set of characters for principal blocks of the group at two different primes when the primes do not divide the group order. This confirms a conjecture of Navarro and Willems in the case of principal blocks.

Original language	English (US)
Pages (from-to)	481-484
Number of pages	4
Journal	Journal of Pure and Applied Algebra
Volume	208
Issue number	2
DOIs	https://doi.org/10.1016/j.jpaa.2006.01.013
State	Published - Feb 2007

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2006.01.013

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title = "On the Navarro-Willems conjecture for blocks of finite groups",

abstract = "We prove that a set of characters of a finite group can only be the set of characters for principal blocks of the group at two different primes when the primes do not divide the group order. This confirms a conjecture of Navarro and Willems in the case of principal blocks.",

author = "C. Bessenrodt and G. Navarro and Olsson, \{J. B.\} and Tiep, \{P. H.\}",

note = "Funding Information: The second author is partially supported by the Ministerio de Educaci{\'o}n y Ciencia proyecto MTM2004-06067-C02-01. The third author is partially supported by the Danish Natural Science Foundation. The fourth author gratefully acknowledges the support of the NSA (grant H98230-04-0066). ",

year = "2007",

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doi = "10.1016/j.jpaa.2006.01.013",

language = "English (US)",

volume = "208",

pages = "481--484",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

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T1 - On the Navarro-Willems conjecture for blocks of finite groups

AU - Bessenrodt, C.

AU - Navarro, G.

AU - Olsson, J. B.

AU - Tiep, P. H.

N1 - Funding Information: The second author is partially supported by the Ministerio de Educación y Ciencia proyecto MTM2004-06067-C02-01. The third author is partially supported by the Danish Natural Science Foundation. The fourth author gratefully acknowledges the support of the NSA (grant H98230-04-0066).

PY - 2007/2

Y1 - 2007/2

N2 - We prove that a set of characters of a finite group can only be the set of characters for principal blocks of the group at two different primes when the primes do not divide the group order. This confirms a conjecture of Navarro and Willems in the case of principal blocks.

AB - We prove that a set of characters of a finite group can only be the set of characters for principal blocks of the group at two different primes when the primes do not divide the group order. This confirms a conjecture of Navarro and Willems in the case of principal blocks.

UR - https://www.scopus.com/pages/publications/33750832326

UR - https://www.scopus.com/pages/publications/33750832326#tab=citedBy

U2 - 10.1016/j.jpaa.2006.01.013

DO - 10.1016/j.jpaa.2006.01.013

M3 - Article

AN - SCOPUS:33750832326

SN - 0022-4049

VL - 208

SP - 481

EP - 484

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2

ER -

On the Navarro-Willems conjecture for blocks of finite groups

Abstract

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