Solvable real groups

被引：0

作者：

Alexander Moretó

Joan F. Tent

机构：

[1] Universitat de València,Departament d’Àlgebra

来源：

Archiv der Mathematik | 2021年 / 116卷

关键词：

Rational group; -group; Solvable group; Irreduciblecharacter; 20C15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that every solvable group is a subgroup of some monomial real group. This extends a result of Dade, who proved that every solvable group is a subgroup of a monomial group.

引用

页码：481 / 485

页数：4

共 9 条

[1]

Feit W(1988)On finite rational groups and related topics Illinois. J. Math. 33 103-131

[2]

Seitz G(1976)Groups whose characters are rational-valued J. Algebra 40 280-299

[3]

Gow R(1995)On character tables of wreath products J. Algebra 175 157-178

[4]

Mattarei S(2012)Quadratic rational solvable groups J. Algebra 363 73-82

[5]

Tent J(2008)Composition factors of rational finite groups J. Algebra 319 558-594

[6]

Thompson J(2005)Real conjugacy classes in algebraic groups and finite groups of Lie type J. Group Theory 8 291-315

[7]

Tiep PH(2017)Non-abelian composition factors of J. Algebra 485 288-309

[8]

Zalesski A(undefined)-rational groups undefined undefined undefined-undefined

[9]

Trefethen S(undefined)undefined undefined undefined undefined-undefined

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