FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 5, PAGES 225-235

**The derived $$p-length, nilpotent
$$p-length,
and simple $$p-length of finite
$$p-soluble
groups**

O. A. Shpyrko

Abstract

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The concept of the derived $$p-length for finite
$$p-soluble groups is
introduced and its elementary properties are described.
The dependence between the $$p-length, nilpotent
$$p-length, and derived
$$p-length, and also
between the derived and nilpotent lengths of a $$p-Hall subgroup is
determined.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k115/k11515h.htm

Last modified: October 18, 2012