Rank reduction of string C-group representations

Autor:	Brooksbank, Peter A., Leemans, Dimitri
Rok vydání:	2018
Předmět:	Mathematics - Group Theory 20F55 20D06 52B11
Druh dokumentu:	Working Paper
Popis:	We show that a rank reduction technique for string C-group representations first used for the symmetric groups generalizes to arbitrary settings. The technique permits us, among other things, to prove that orthogonal groups defined on $d$-dimensional modules over fields of even order greater than 2 possess string C-group representations of all ranks $3\leq r\leq d$. The broad applicability of the rank reduction technique provides fresh impetus to construct, for suitable families of groups, string C-groups of highest possible rank. It also suggests that the alternating group ${\rm Alt}(11)$---the only known group having `rank gaps'---is perhaps more unusual than previously thought. Comment: 6 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.01055 Zobrazit plný text záznamu View this record from Arxiv