6533b7defe1ef96bd1276788

RESEARCH PRODUCT

Criteria for the solubility and non-simplicity of finite groups

Bernhard AmbergAngel CaroccaLev Kazarin

subject

Discrete mathematicsAlgebraFinite groupAlgebra and Number Theorymedia_common.quotation_subjectGraph (abstract data type)SimplicitySolubilitymedia_commonMathematics

description

Abstract Some criteria of the non-simplicity of a finite group by graph theoretical terms are derived. This is then used to establish conditions under which a finite group is soluble.

10.1016/j.jalgebra.2004.12.009http://dx.doi.org/10.1016/j.jalgebra.2004.12.009