A note on finite groups with few conjugacy classes of subgroups
Year: 2026
Type: article
Abstract: In this note, we give some conditions of solvability of a finite group G based on its number of conjugacy classes of subgroups Con(G). We classify all finite groups G with Con(G)≤5. A new characterization of A5 is also given.
Source: Communications in Algebra
Author: Marius Tărnăuceanu
Institution: Alexandru Ioan Cuza University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7171120386