par Brooksbank, Peter P.A.;Leemans, Dimitri 
Référence Proceedings of the American Mathematical Society, 147, 12, page (5421-5426)
Publication Publié, 2019-12-01
Référence Proceedings of the American Mathematical Society, 147, 12, page (5421-5426)
Publication Publié, 2019-12-01
Article révisé par les pairs
| Résumé : | We show that a rank reduction technique for string C-group representations first used in [Adv. Math. 228 (2018), pp. 3207-3222] 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 ≤ n ≤ 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 Alt(11)-the only known group having "rank gaps"-is perhaps more unusual than previously thought. |
