1. Open Access Kent State
  2. Conjugacy Classes of Maximal Cyclic Subgroups and Nilpotence Class of p-Groups
Author(s)
Abstract

Let η(G) be the number of conjugacy classes of maximal cyclic subgroups of G. We prove that if G is a p-group of order pn and nilpotence class l, then η(G) is bounded below by a linear function in n/l .
Format
Article
Identifier(s)
10.1017/S0004972722000211
Publication Date
2022-03-21
Publication Title
Bulletin of the Australian Mathematical Society
Publisher
Cambridge University Press
Keywords
Subject
Rights
http://rightsstatements.org/vocab/InC/1.0/
License
Creative Commons Attribution 4.0
Community
Department of Mathematical Sciences
Permalink https://oaks.kent.edu/article/conjugacy-classes-maximal-cyclic-subgroups-and-nilpotence-class-p-groups
Bianchi, M., Camina, R., & Lewis, M. (2022). Conjugacy Classes of Maximal Cyclic Subgroups and Nilpotence Class of p-Groups (1–). Bulletin of the Australian Mathematical Society. https://doi.org/10.1017/S0004972722000211
Bianchi, Mariagrazia, Rachel Camina, and Mark Lewis. 2022. “Conjugacy Classes of Maximal Cyclic Subgroups and Nilpotence Class of P-Groups”. Bulletin of the Australian Mathematical Society. https://doi.org/10.1017/S0004972722000211.
Bianchi, Mariagrazia, et al. Conjugacy Classes of Maximal Cyclic Subgroups and Nilpotence Class of P-Groups. Bulletin of the Australian Mathematical Society, 21 Mar. 2022, https://doi.org/10.1017/S0004972722000211.