Archivo por meses: marzo 2014

International Conference «Classes of Groups, Algebras and their Applications» dedicated to the memory of Leonid A. Shemetkov, Gomel, Belarus, 3-6 July, 2014

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L. A. ShemetkovThe International Algebraic Conference «Classes of Groups, Algebras and their Applications», dedicated to the memory of Corresponding Member of the National Academy of Sciences of Belarus, Honoured Scientist of Belarus, Doctor of Physical and Mathematical Sciences, Professor Leonid Alexandrovich Shemetkov will be held in Gomel on July 3-6, 2014.

http://agss-conf.org/shemetkov/

Deputy Chairman of the Organizing Committee M.V. Sel’kin

Program Committee Chairman A.N. Skiba

Executive Secretary V.A. Kovaleva

Adolfo Ballester-Bolinches and Ramón Esteban-Romero belong to the programme committee.

Paper «On a problem posed by S. Li and J. Liu» published in Arch. Math.

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The following paper has been published.

El siguiente artículo ha sido publicado.

El següent article ha sigut publicat.

Adolfo Ballester-Bolinches, Shouhong Qiao

On a problem posed by S. Li and J. Liu

Arch. Math., 102, 109-111 (2014)

http://dx.doi.org/10.1007/s00013-014-0617-5

Abstract: A subgroup H of a finite group G is said to be Hall normally
embedded in G if there is a normal subgroup N of G such that H is a
Hall subgroup of N . The aim of this note is to prove that a group G has
a Hall normally embedded subgroup of order |B| for each subgroup B of
G if and only if G is soluble with nilpotent residual cyclic of square-free
order. This is the answer to a problem posed by Li and Liu (J. Algebra
388:1–9, 2013).


MSC: 20D10, 20D20
Keywords: Finite group, soluble group, Hall subgroups