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Details for article 28 of 31 found articles
| Title: |
Sylow Products and the Solvable Residual |
| Author: |
Kaplan, Gil Levy, Dan |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 36 (2008) nr. 3 pages 851-857 |
| Year: |
2008-03 |
| Contents: |
We study the connection between products of Sylow subgroups of a finite group G and the solvable residual of G. Let Π(P) be a product of Sylow subgroups of G such that each prime divisor of |G| is represented exactly once in Π(P). We prove that there exists a unique normal subgroup N of G which is minimal subject to the requirement Π(P) N = G. Furthermore, N is perfect, and the product of all of these subgroups is the solvable residual of G. We also prove that the solvable residual of G is generated by all elements which arise from non-trivial factorizations of 1G in such products of Sylow subgroups. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 28 of 31 found articles
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