We prove a 1978 conjecture of Richard Weiss in the case of groups with composition factors of bounded rank. Namely, we prove that there exists a function g: ℕ × ℕ → ℕ such that, for Γ a connected G-vertex-transitive, G-locally primitive graph of valency at most d, if G has no alternating groups of degree greater than r as sections, then a vertex stabiliser in G has size at most g(r, d). © 2011 American Mathematical Society.

Praeger, C., Pyber, L., Spiga, P., & Szabó, E. (2012). Graphs with automorphism groups admitting composition factors of bounded rank. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 140(7), 2307-2318 [10.1090/S0002-9939-2011-11100-6].

Graphs with automorphism groups admitting composition factors of bounded rank

SPIGA, PABLO
Penultimo
;
2012

Abstract

We prove a 1978 conjecture of Richard Weiss in the case of groups with composition factors of bounded rank. Namely, we prove that there exists a function g: ℕ × ℕ → ℕ such that, for Γ a connected G-vertex-transitive, G-locally primitive graph of valency at most d, if G has no alternating groups of degree greater than r as sections, then a vertex stabiliser in G has size at most g(r, d). © 2011 American Mathematical Society.
Articolo in rivista - Articolo scientifico
Almost simple groups; Normal quotients; Quasiprimitive groups; Weiss conjecture; Mathematics (all); Applied Mathematics
English
2307
2318
12
Praeger, C., Pyber, L., Spiga, P., & Szabó, E. (2012). Graphs with automorphism groups admitting composition factors of bounded rank. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 140(7), 2307-2318 [10.1090/S0002-9939-2011-11100-6].
Praeger, C; Pyber, L; Spiga, P; Szabó, E
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/99784
Citazioni
  • Scopus 16
  • ???jsp.display-item.citation.isi??? 17
Social impact