Finite groups with a prescribed number of cyclic subgroups

DOI10.1080/00927872.2018.1499923zbMath1472.20049arXiv1806.06090OpenAlexW2962812171MaRDI QIDQ5743051

Les Reid, Joe Dillstrom, Richard G. Belshoff

Publication date: 8 May 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06090

zbMATH Keywords

cyclic subgroupsstructure of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Series and lattices of subgroups (20D30)

Related Items (5)

Lower Bounds on the Number of Cyclic Subgroups in Finite Non-Cyclic Nilpotent Groups ⋮ Groups whose same-order types are arithmetic progressions ⋮ On the number of cyclic subgroups of a group ⋮ Addendum to “Finite groups with a prescribed number of cyclic subgroups” ⋮ A connection between the number of subgroups and the order of a finite group

Cites Work

• A generalization of Sylow's third theorem
• Finite groups with a certain number of cyclic subgroups. II.
• Finite Groups With a Certain Number of Cyclic Subgroups
• Counting Group Elements of Order p Modulo p 2
• The Groups of Order Sixteen Made Easy
• Unnamed Item

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