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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
 
 
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APA: Copy

KHUKHRO, E. (2012). ON P-SOLUBLE GROUPS WITH A GENERALIZED P-CENTRAL OR POWERFUL SYLOW P-SUBGROUP. INTERNATIONAL JOURNAL OF GROUP THEORY, 1(2), 51-57. https://www.sid.ir/en/journal/ViewPaper.aspx?id=272975



Vancouver: Copy

KHUKHRO E.I.. ON P-SOLUBLE GROUPS WITH A GENERALIZED P-CENTRAL OR POWERFUL SYLOW P-SUBGROUP. INTERNATIONAL JOURNAL OF GROUP THEORY. 2012 [cited 2022January23];1(2):51-57. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=272975



IEEE: Copy

KHUKHRO, E., 2012. ON P-SOLUBLE GROUPS WITH A GENERALIZED P-CENTRAL OR POWERFUL SYLOW P-SUBGROUP. INTERNATIONAL JOURNAL OF GROUP THEORY, [online] 1(2), pp.51-57. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=272975.



 
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