On the number of cyclic subgroups in a finite group

zbMATH Open1424.20026MaRDI QIDQ2421227

Elaheh Haghi, A. R. Ashrafi

Publication date: 21 June 2019

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

zbMATH Keywords

simple groupnumber of cyclic subgroupselement order

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (10)

Unnamed Item ⋮ A Tale of Two Cyclicities: Counting in Finite Cyclic Groups and Finite Fields ⋮ THE SECOND MINIMUM/MAXIMUM VALUE OF THE NUMBER OF CYCLIC SUBGROUPS OF FINITE -GROUPS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Number of cyclically irreducible words in the alphabet of a free group of finite rank ⋮ On the number of transversals in Cayley tables of cyclic groups ⋮ Unnamed Item ⋮ On \(n\)-cyclic groups ⋮ On finite groups having a certain number of cyclic subgroups

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