The derived π-length, nilpotent π-length, and simple π-length of finite π-soluble groups

被引：0

作者：

Shpyrko O.A. ^{[1
]}

机构：

[1] Black Sea MSU Campus in Sevastopol, Sevastopol

来源：

Journal of Mathematical Sciences | 2013年 / 193卷 / 4期

关键词：

Normal Subgroup; Minimal Normal Subgroup; Hall Subgroup; Fitting Subgroup; Unique Minimal Normal Subgroup;

D O I：

10.1007/s10958-013-1490-7

中图分类号：

学科分类号：

摘要：

The concept of the derived π-length for finite π-soluble groups is introduced and its elementary properties are described. The dependence between the π-length, nilpotent π-length, and derived π-length, and also between the derived and nilpotent lengths of a π-Hall subgroup, is determined. © 2013 Springer Science+Business Media New York.

引用

页码：631 / 638

页数：7

共 15 条

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Shemetkov L.A., Formations of the Finite Groups [in Russian], (1978)

[12]

Shpyrko O.A., On intersections of Hall subgroups and the π-length of a π-solvable group, Vestn. Vicebsk. Dzyarzh. Univ., 18, 4, pp. 82-89, (2000)

[13]

Shpyrko O.A., Hall subgroups and the nilpotent π-length of a π-solvable group, Vesci NAN Belarusi. Ser. Fiz.-Mat. Navuk, 2, pp. 48-50, (2001)

[14]

Shpyrko O.A., On the nilpotent π-length of a finite π-soluble group and commutant of its π-Hall subgroup, Tavrich. Vestn. Inf. Mat., 1, pp. 106-112, (2004)

[15]

Shpyrko O.A., Nilpotent π-length of finite π-solvable groups with restrictions on subgroups, Vestn. Mosk. Univ. Ser. 1 Mat. Mekhfs, 1, pp. 11-16, (2008)

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