Character degree sets that do not bound the class of a group
Authors:
I. M. Isaacs and M. C. Slattery
Journal:
Proc. Amer. Math. Soc. 130 (2002), 25532558
MSC (2000):
Primary 20C15
Published electronically:
February 4, 2002
MathSciNet review:
1900861
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Abstract: Suppose that we are given a set of powers of a prime and that . A technique is presented that enables the construction of a group of specified nilpotence class such that its set of irreducible character degrees is exactly . If , then this can be done for and if , then the only requirement is .
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 I. M. Isaacs and A. Moretó, Character degrees and the nilpotence class of a group, J. of Algebra 238 (2001) 827842. CMP 2001:11
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 M. C. Slattery, Character degrees and nilpotence class in groups, J. of Austral. Math. Soc. (Series A) 57 (1994) 7680. MR 95d:20013
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Additional Information
I. M. Isaacs
Affiliation:
Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, Wisconsin 53706
Email:
isaacs@math.wisc.edu
M. C. Slattery
Affiliation:
Department of Mathematics, Statistics and Computer Science, Marquette University, P.O. Box 1881, Milwaukee, Wisconsin 53201
Email:
mikes@mscs.mu.edu
DOI:
http://dx.doi.org/10.1090/S0002993902063645
PII:
S 00029939(02)063645
Received by editor(s):
February 23, 2001
Received by editor(s) in revised form:
April 16, 2001
Published electronically:
February 4, 2002
Additional Notes:
The research of the first author was partially supported by the U. S. National Security Agency.
Communicated by:
Stephen D. Smith
Article copyright:
© Copyright 2002
American Mathematical Society
