Abstract
We prove that there is a one-one correspondence between sets of irreducible representations of a polyadic group and its Post's cover. Using this correspondence, we generalize some well-known properties of irreducible characters in finite groups to the case of polyadic groups.
Original language | English |
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Pages (from-to) | 1625-1631 |
Number of pages | 7 |
Journal | Communications in Algebra |
Volume | 40 |
Issue number | 5 |
DOIs | |
Publication status | Published - May 2012 |
Externally published | Yes |
Keywords
- Character degrees
- Polyadic groups
- Post's cover
- Representations
ASJC Scopus subject areas
- Algebra and Number Theory