Paper Information

Journal:   INTERNATIONAL JOURNAL OF GROUP THEORY   JUNE 2012 , Volume 1 , Number 2; Page(s) 51 To 57.
 
Paper:  ON P-SOLUBLE GROUPS WITH A GENERALIZED P-CENTRAL OR POWERFUL SYLOW P-SUBGROUP
 
Author(s):  KHUKHRO E.I.*
 
* SOBOLEV INSTITUTE OF MATHEMATICS, 630090, NOVOSIBIRSK, RUSSIA
 
Abstract: 
Let G be a finite p-soluble group, and P a Sylow p-subgroup of G. It is proved that if all elements of P of order p (or of order £ 4 for p=2) are contained in the k-th term of the upper central series of P, then the p-length of G is at most 2m+1, where m is the greatest integer such that pm-pm-1£k, and the exponent of the image of P in G=Op; p (G) is at most pm. It is also proved that if P is a powerful p-group, then the p-length of G is equal to 1.
 
Keyword(s): P-CENTRAL P-GROUP OF HEIGHT K, POWERFUL P-GROUP, P-SOLUBLE, P-LENGTH
 
References: 
  • ندارد
 
  Persian Abstract Yearly Visit 64
 
Latest on Blog
Enter SID Blog