Group Theory

A sequence of subgroups of G where the factors are quotient groups

A normal series without repetition and with all factors being simple groups

Simple groups

<p>The trivial series {e} = G</p> Signup and view all the answers

<p>Every finite group has a composition series</p> Signup and view all the answers

<p>A normal series without repetition and all factors are simple groups</p> Signup and view all the answers

<p>The quotient groups G/Gi</p> Signup and view all the answers

<p>The trivial normal series {e} = G0 ⊂ G1 = G</p> Signup and view all the answers

<p>Subgroups G0, G1,...,Gr of group G</p> Signup and view all the answers

<p>A normal subgroup that is not properly contained in any other normal subgroup</p> Signup and view all the answers