Autor:	Michael J. J. Barry, Michael B. Ward
Rok vydání:	2005
Předmět:	Discrete mathematics Combinatorics Algebra and Number Theory Character (mathematics) Conjecture Property (philosophy) Degree (graph theory) Integer Symmetric group Mathematics::Representation Theory Symmetric group representations Prime (order theory) Mathematics
Zdroj:	Journal of Algebra. 294:136-155
ISSN:	0021-8693
Popis:	We exhibit for each integer n 15 an ordinary irreducible character of the symmetric group Sn, which restricts irreducibly to An, with the property that its degree is divisible by every prime less than or equal to n, thereby proving a conjecture of D.L. Alvis.  2005 Elsevier Inc. All rights reserved.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb541e9e31ded28044e76ad0029b9bc0 https://doi.org/10.1016/j.jalgebra.2005.04.028 Zobrazit plný text záznamu Full Text from ScienceDirect