ALTERNATING Q-GROUPS

作者：Armeanu Ion^*; Ozturk Didem

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2012, 74(4): 39-46.

• Group theory
• Group characters
• Q-groups
• Permutation groups, Schur index

In this paper we shall study the structure of the finite alternating groups and we prove that there are no nontrivial alternating groups whose irreducible characters are rational valued. Also we prove that even the alternating groups are not Q-groups the conclusion of Brauer-Speiser theorem about the Schur index is still true for this class of groups.

• 出版日期2012