Character Degree Graphs of Solvable Groups of Fitting Height 2
Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 127-133
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Given a finite group $G$ , we attach to the character degrees of $G$ a graph whose vertex set is the set of primes dividing the degrees of irreducible characters of $G$ , and with an edge between $p$ and $q$ if $pq$ divides the degree of some irreducible character of $G$ . In this paper, we describe which graphs occur when $G$ is a solvable group of Fitting height 2.
Lewis, Mark L. Character Degree Graphs of Solvable Groups of Fitting Height 2. Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 127-133. doi: 10.4153/CMB-2006-013-0
@article{10_4153_CMB_2006_013_0,
author = {Lewis, Mark L.},
title = {Character {Degree} {Graphs} of {Solvable} {Groups} of {Fitting} {Height} 2},
journal = {Canadian mathematical bulletin},
pages = {127--133},
year = {2006},
volume = {49},
number = {1},
doi = {10.4153/CMB-2006-013-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-013-0/}
}
TY - JOUR AU - Lewis, Mark L. TI - Character Degree Graphs of Solvable Groups of Fitting Height 2 JO - Canadian mathematical bulletin PY - 2006 SP - 127 EP - 133 VL - 49 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-013-0/ DO - 10.4153/CMB-2006-013-0 ID - 10_4153_CMB_2006_013_0 ER -
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