Automorphism orbits and element orders in finite groups: almost-solubility and the monster
Auteur :
Bors, Alexander / Giudici, Michael / Praeger, Cheryl E.
Éditeur :
American Mathematical Society
ISBN :
9781470465445
Date de publication :
31 juil. 2023
Dimensions :
25,4 x 17,8 cm
Langue :
Anglais
Pays d'origine :
USA
For a finite group G, we denote by ?(G) the number of Aut(G)-orbits on G, and by o(G) the number of distinct element orders in G. In this paper, we are primarily concerned with the two quantities d(G) := ?(G) ? o(G) and q(G) := ?(G)/ o(G).