THE SECOND MINIMUM/MAXIMUM VALUE OF THE NUMBER OF CYCLIC SUBGROUPS OF FINITE -GROUPS

DOI10.1017/S0004972720000337zbMath1498.20058arXiv2001.10521OpenAlexW3019354064MaRDI QIDQ5147587

Mihai-Silviu Lazorec, R. L. Shen, Marius Tărnăuceanu

Publication date: 27 January 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10521

zbMATH Keywords

finite \(p\)-groupsnumber of cyclic subgroupsexponent of a group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cyclicity degrees of finite groups.
• Finite non-elementary Abelian \(p\)-groups whose number of subgroups is maximal.
• Groups of prime power order. Vol. 1.
• The number of solutions of \(x^3=1\) in a 3-group
• On the number of cyclic subgroups of a finite group
• Finite non-cyclic \(p\)-groups whose number of subgroups is minimal
• On a conjecture by Haipeng Qu
• Subgroup lattices and symmetric functions

This page was built for publication: THE SECOND MINIMUM/MAXIMUM VALUE OF THE NUMBER OF CYCLIC SUBGROUPS OF FINITE -GROUPS