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                                       Details for article 22 of 23 found articles
 
 
  The number of conjugacy classes of non-normal subgroups in nilpotent groups
 
 
Title: The number of conjugacy classes of non-normal subgroups in nilpotent groups
Author: Poland, John
Rhemtulla, Akbar
Appeared in: Communications in algebra
Paging: Volume 24 (1996) nr. 10 pages 3237-3245
Year: 1996
Contents: In a recent paper, Rolf Brandi classified all finite groups having exactly one conjugacy class of nonnormal subgroups, and conjectured thatfor a nilpotent group G of nilpotency class c = c(G) the number v(G) = vof conjugacy classes of nonnormal subgroups satisfies the inequality v(G) ≥ c(G) - 1 (with the exception of the Hamiltonian groups, of course). The purpose of this paper is to establish this conjecture and to decide when this inequality is sharp.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 22 of 23 found articles
 
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