On groups satisfying a positive law in fixed points

Autor:	Aline de Souza Lima, Pavel Shumyatsky
Rok vydání:	2009
Předmět:	Discrete mathematics Automorphisms Algebra and Number Theory Centralizers Degree (graph theory) Group (mathematics) Function (mathematics) Fixed point Automorphism Combinatorics Associated Lie rings Bounded function Order (group theory) Abelian group Mathematics
Zdroj:	Journal of Algebra. 322:245-253
ISSN:	0021-8693
Popis:	Let A be an elementary abelian q-group of order q 2 acting on a finite q ′ -group G in such a manner that the subgroup 〈 C G ( a ) , C G ( b ) 〉 satisfies a positive law of degree n for any a , b ∈ A # . It is proved that the entire group G satisfies a positive law of degree bounded by a function of q and n only.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15f42f10c359900234ed79ce37409d24 https://doi.org/10.1016/j.jalgebra.2009.01.010 Zobrazit plný text záznamu Full Text from ScienceDirect