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FINITE GROUPS WHOSE CHARACTER CODEGREES ARE CONSECUTIVE INTEGERS

Part of: Representation theory of groups

Published online by Cambridge University Press:  14 October 2024

MARK L. LEWIS Open the ORCID record for MARK L. LEWIS [Opens in a new window]  and
QUANFU YAN Open the ORCID record for QUANFU YAN [Opens in a new window]
MARK L. LEWIS
Affiliation:
Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA e-mail: [email protected]
QUANFU YAN*
Affiliation:
Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA
*
e-mail: [email protected]
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Abstract

Let G be a finite group. We investigate the structure of finite groups whose irreducible character codegrees are consecutive integers.

Keywords

finite groupsirreducible character codegrees

MSC classification

Primary: 20C15: Ordinary representations and characters
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , First View , pp. 1 - 5
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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References

El Bachraoui, M., ‘Primes in the interval $\left[2n,3n\right]$ ’, Int. J. Contemp. Math. Sci. 1(13) (2006), 617–621.CrossRefGoogle Scholar
Grove, L. C., Groups and Characters (John Wiley and Sons, New York, 1997).CrossRefGoogle Scholar
Huppert, B., Character Theory of Finite Groups (de Gruyter, Berlin, 1998).CrossRefGoogle Scholar
Isaacs, I. M., ‘Element orders and character codegrees’, Arch. Math. 97 (2011), 499–501.CrossRefGoogle Scholar
Isaacs, I. M. and Passman, D. S., ‘A characterization of groups in terms of the degrees of their characters’, Pacific J. Math. 15 (1965), 877–903.CrossRefGoogle Scholar
Lewis, M. L., ‘Determining group structure from sets of character degrees’, J. Algebra 206(1) (1998), 235–260.CrossRefGoogle Scholar
Lewis, M. L., ‘Irreducible character degree sets of solvable groups’, J. Algebra 206(1) (1998), 208–234.CrossRefGoogle Scholar
Lewis, M. L. and Yan, Q., ‘On the sum of character codegrees of finite groups’, Preprint, 2024, arXiv:2402.12628.Google Scholar
Qian, G., Wang, Y. and Wei, H., ‘Co-degrees of irreducible characters in finite groups’, J. Algebra 312 (2007), 946–955.CrossRefGoogle Scholar
Yang, Y. and Qian, G., ‘The analog of Huppert’s conjecture on character codegrees’, J. Algebra 478 (2017), 215–219.CrossRefGoogle Scholar