We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Some character degree sets imply direct product.
- Authors
Aziziheris, Kamal; Sahrayi, Heidar
- Abstract
Let be the set of all irreducible complex characters of a finite group . In [K. Aziziheris, Determining group structure from sets of irreducible character degrees, J. Algebra 323 (2010) 1765-1782], we proved that if and are relatively prime integers greater than , is prime not dividing , and is a solvable group such that , then under some conditions on and , the group is the direct product of two normal subgroups, where and . In this paper, we replace by , where is an arbitrary positive integer, and we obtain similar result. As an application, we show that if is a finite group with or , then is a direct product of two non-abelian normal subgroups.
- Subjects
DIRECT products (Mathematics); MEASUREMENT of angles (Geometry); SET theory; INTEGERS; FINITE groups; NONABELIAN groups
- Publication
Journal of Algebra & Its Applications, 2016, Vol 15, Issue 10, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498816501863