Semisimple groups with the rewriting property Q5

Autor:	Russell D. Blyth, Derek J. S. Robinson
Rok vydání:	1995
Předmět:	Discrete mathematics Algebra and Number Theory Perfect group Alternating group General linear group Projective linear group Permutation group Covering groups of the alternating and symmetric groups Non-abelian group Mathematics Schur multiplier
Zdroj:	Communications in Algebra. 23:2171-2180
ISSN:	1532-4125 0092-7872
Popis:	Let n be an integer greater than 1, and let G be a group. A subset {x1, X2, ..., xn} of n elements of G is said to be rewritable if there are distinct permutations π and σ of {1,2, …, n} such that The group G is said to have the rewriting property Qn or to be n-rewritable, if every subset of n elements of G is rewritable. The main result of this paper shows that the only nontrivial semlsimple groups with the property Q5 are the alternating group A5, the symmetric group S5, the projective special linear group PSL(2, 7) and the projective general linear group PGL(2, 7)
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::df966c016fddb5b01923fc5ff6a0c2ef https://doi.org/10.1080/00927879508825338 Zobrazit plný text záznamu