ON THE NUMBER OF CONJUGACY CLASSES OF A FINITE SOLVABLE GROUP

LÁSZLÓ HÉTHELYI; BURKHARD KÜLSHAMMER

doi:10.1112/S0024609300007499

Hethelyi, Laszlo and Külshammer, Burkhard 2003. On the number of conjugacy classes of a finite solvable group II. Journal of Algebra, Vol. 270, Issue. 2, p. 660.

Malle, Gunter 2006. Fast-einfache Gruppen mit langen Bahnen in absolut irreduzibler Operation. Journal of Algebra, Vol. 300, Issue. 2, p. 655.

KELLER, THOMAS MICHAEL 2009. Lower bounds for the number of conjugacy classes of finite groups. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 147, Issue. 3, p. 567.

Héthelyi, László Horváth, Erzsébet Keller, Thomas Michael and Maróti, Attila 2011. Groups with few conjugacy classes. Proceedings of the Edinburgh Mathematical Society, Vol. 54, Issue. 2, p. 423.

Külshammer, Burkhard Navarro, Gabriel Sambale, Benjamin and Tiep, Pham Huu 2014. Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks. Bulletin of the London Mathematical Society, Vol. 46, Issue. 2, p. 305.

Maróti, Attila 2016. A lower bound for the number of conjugacy classes of a finite group. Advances in Mathematics, Vol. 290, Issue. , p. 1062.

Maróti, Attila and Simion, Iulian I. 2020. Bounding the number of classes of a finite group in terms of a prime. Journal of Group Theory, Vol. 23, Issue. 3, p. 471.

Khukhro, E.I. Moretó, Alexander and Zarrin, M. 2021. The average element order and the number of conjugacy classes of finite groups. Journal of Algebra, Vol. 569, Issue. , p. 1.

Hung, Nguyen Ngoc Malle, Gunter and Maróti, Attila 2022. On almost p-rational characters of p ′ p^{\prime} -degree. Forum Mathematicum, Vol. 0, Issue. 0,

Hung, Nguyen Ngoc and Maróti, Attila 2022. p-Regular conjugacy classes and p-rational irreducible characters. Journal of Algebra, Vol. 607, Issue. , p. 387.

Hung, Nguyen Ngoc Schaeffer Fry, A.A. and Vallejo, Carolina 2023. Height zero characters in principal blocks. Journal of Algebra, Vol. 622, Issue. , p. 197.

KELLER, THOMAS MICHAEL and MORETÓ, ALEXANDER 2024. Prime divisors and the number of conjugacy classes of finite groups. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 176, Issue. 1, p. 1.

Yang, Yong and Zhang, Mengtian 2024. On the number of conjugacy classes of a finite solvable group. Archiv der Mathematik, Vol. 123, Issue. 1, p. 1.

Hung, Nguyen N. Schaeffer Fry, A.A. and Vallejo, Carolina 2024. Principal blocks with six ordinary irreducible characters. Journal of Algebra, Vol. 655, Issue. , p. 517.

Çınarcı, Burcu and Keller, Thomas 2024. A new lower bound for the number of conjugacy classes. Proceedings of the American Mathematical Society,

Article contents

ON THE NUMBER OF CONJUGACY CLASSES OF A FINITE SOLVABLE GROUP

Abstract

Access options

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

ON THE NUMBER OF CONJUGACY CLASSES OF A FINITE SOLVABLE GROUP

Abstract

Access options

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests