Abstract
Original language | English |
---|---|
Pages (from-to) | 3521-3526 |
Number of pages | 6 |
Journal | Journal of Algebra |
Volume | 321 |
Issue number | 11 |
DOIs | |
Publication status | Published - 1 Jun 2009 |
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Keywords
- characters
- commutators
Cite this
Characters and the commutator map. / Robinson, Geoffrey R.
In: Journal of Algebra, Vol. 321, No. 11, 01.06.2009, p. 3521-3526.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Characters and the commutator map
AU - Robinson, Geoffrey R.
PY - 2009/6/1
Y1 - 2009/6/1
N2 - We show that the degrees of the complex irreducible characters of a finite group G are determined by the number of expressions of the identity as a product of k commutators for each k. Similar results are proved regarding real-valued irreducible characters, and the methods are then combined with modular methods to obtain results about real-valued p-blocks of defect 0.
AB - We show that the degrees of the complex irreducible characters of a finite group G are determined by the number of expressions of the identity as a product of k commutators for each k. Similar results are proved regarding real-valued irreducible characters, and the methods are then combined with modular methods to obtain results about real-valued p-blocks of defect 0.
KW - characters
KW - commutators
U2 - 10.1016/j.jalgebra.2008.02.032
DO - 10.1016/j.jalgebra.2008.02.032
M3 - Article
VL - 321
SP - 3521
EP - 3526
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
IS - 11
ER -