0000000000161570
AUTHOR
Olaf Manz
Orbit sizes ofp-groups
Some applications of a fundamental theorem by Gluck and Wolf in the character theory of finite groups
Prime Factors of Character Degrees of Solvable Groups
Degree problems II π - separable character degrees
Degree-problems I squarefree character degrees
A note on character degrees of solvable groups
On the Modular Version of Ito’s Theorem on Character Degrees for Groups of Odd Order
One of the most useful theorems in classical representation theory is a result due to N. Ito, which can be stated using the classification of the finite simple groups in the following way.THEOREM (N. Ito, G. Michler). Let Irr (G) be the set of all irreducible complex characters of the finite group G and q be a prime number. Then if and only if G has a normal, abelian Sylow-q-subgroup.
On the loewy series of the group algebra of groups of smallp-Length∗
(1989). On the loewy series of the group algebra of groups of small p-Length. Communications in Algebra: Vol. 17, No. 5, pp. 1249-1274.