Solvable groups whose degree graphs have two connected components Page 1 J. Group
Theory 4 (2001), 255±275 Journal of Group Theory ( de Gruyter 2001 Solvable groups whose …

The aim of this paper is studying the groups in which the zeros of every irreducible character
are restricted in being p-elements, for some fixed prime p. In particular, we classify the …

We use group schemes to construct optimal packings of lines through the origin. In this
setting, optimal line packings are naturally characterized using representation theory, which …

We prove that if all real-valued irreducible characters of a finite group G with Frobenius–
Schur indicator 1 are nonzero at all 2-elements of G, then G has a normal Sylow 2-subgroup …

COMMON ZEROS OF IRREDUCIBLE CHARACTERS Page 1 J. Aust. Math. Soc. 117 (2024),
105–129 doi:10.1017/S1446788723000216 COMMON ZEROS OF IRREDUCIBLE …

We give an overview of results on the orbit structure of finite group actions with an emphasis
on abstract linear groups. The main questions considered are the number of orbits, the …

In this study of the behaviour of the number of conjugacy classes in finite p-groups using pro-
p groups, the conjugacy growth function rn (G)= max {r (G/N)| N⊲ o G,| G: N|= n} is …

The structure of the character degree graphs $\Delta (G) $, ie the prime graphs on the set
$\mathrm {cd}(G) $ of the irreducible character degrees of a finite group $ G $, such that $ G …

Let G be a finite group, Irr (G)={χi,-', Xk} be the set of all irreducible characters, Cl (G)={CΊ,,
Ck} be the conjugacy classes of G, and X {be a representative of Ci. We call G self dual if (by …

In the study of finite groups a sort of duality has been observed between conjugacy classes
and irreducible characters, but the connection is quite murky. Abelian groups are special in …