Back to Search
Start Over
Non-solvable groups all of whose indices are odd-square-free.
- Source :
-
Turkish Journal of Mathematics . 2022, Vol. 46 Issue 3, p746-752. 7p. - Publication Year :
- 2022
-
Abstract
- Given a finite group G and x ∈ G, the class size of x in G is called odd-square-free if it is not divisible by the square of any odd prime number. In this paper, we show that if G is a nonsolvable finite group, all of whose class sizes are odd-square-free, then we have some control on the structure of G, which is an answer to the dual of the question mentioned by Huppert in [5]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE groups
*ODD numbers
*DIVISIBILITY groups
*CONJUGACY classes
Subjects
Details
- Language :
- English
- ISSN :
- 13000098
- Volume :
- 46
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Turkish Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 155827518
- Full Text :
- https://doi.org/10.55730/1300-0098.3120