Front Matter

\(\require{mathtools}\require{color} \setcounter{MaxMatrixCols}{15} \newcommand{\mbu}[1]{\mathbf{\mathrm{#1}}} \newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\R}{\mathbb R} \newcommand{\cC}{\mathcal{C}} \newcommand{\F}{\mathbb{F}} \newcommand{\GF}{\mathrm{GF}} \DeclareMathOperator{\Span}{Span} \DeclareMathOperator{\rank}{rank} \DeclareMathOperator{\lcm}{lcm} \DeclareMathOperator{\rk}{rk} \DeclareMathOperator{\wt}{wt} \DeclareMathOperator{\im}{im} \makeatletter \@ifundefined{char}{ \DeclareMathOperator{\char}{char} }{} \makeatother \DeclareMathOperator{\GRS}{GRS} \DeclareMathOperator{\RS}{RS} \DeclareMathOperator{\BCH}{BCH} \newcommand{\transpose}[1]{#1^{\top}} \newcommand{\by}{\mathbf{y}} \newcommand{\bc}{\mathbf{c}} \newcommand{\bx}{\mathbf{x}} \newcommand{\bm}{\mathbf{m}} \newcommand{\bs}{\mathbf{s}} \newcommand{\be}{\mathbf{e}} \newcommand{\bu}{\mathbf{u}} \newcommand{\bv}{\mathbf{v}} \newcommand{\bh}{\mathbf{h}} \newcommand{\br}{\mathbf{r}} \newcommand{\bzero}{\mathbf{0}} \newcommand{\balpha}{\boldsymbol{\alpha}} \newcommand{\subgroup}[1]{\langle{#1}\rangle} \newcommand{\isom}{\cong} \DeclareMathOperator\Aut{Aut} \DeclareMathOperator\Char{char} \DeclareMathOperator\cl{cl} \DeclareMathOperator\Conj{Conj} \DeclareMathOperator\Inn{Inn} \DeclareMathOperator\Gal{Gal} \DeclareMathOperator\Out{Out} \DeclareMathOperator\orb{orb} \DeclareMathOperator\Orb{Orb} \DeclareMathOperator\Perm{Perm} \DeclareMathOperator\stab{stab} \DeclareMathOperator\Stab{Stab} \DeclareMathOperator\fix{fix} \DeclareMathOperator\Fix{Fix} \DeclareMathOperator\Syl{Syl} \DeclareMathOperator\Sym{Sym} \DeclareMathOperator\soc{soc} \DeclareMathOperator{\nil}{nil} \DeclareMathOperator{\Nil}{Nil} \DeclareMathOperator\jac{jac} \DeclareMathOperator\Jac{Jac} \DeclareMathOperator\Eq{Eq} \DeclareMathOperator\Hol{Hol} \DeclareMathOperator\Frac{Frac} \DeclareMathOperator\GL{GL} \DeclareMathOperator\SL{SL} \DeclareMathOperator\So{SO} \DeclareMathOperator\SU{SU} \DeclareMathOperator\PGL{PGL} \DeclareMathOperator\PSL{PSL} \DeclareMathOperator\PSU{PSU} \DeclareMathOperator\PSP{PsP} \DeclareMathOperator\AGL{AGL} \DeclareMathOperator\Heis{Heis} \DeclareMathOperator\Dic{Dic} \DeclareMathOperator\SA{SA} \DeclareMathOperator\SD{SD} \DeclareMathOperator\Fr{Fr} \DeclareMathOperator\Mod{Mod} \DeclareMathOperator\DQ{DQ} \DeclareMathOperator\QD{QD} \DeclareMathOperator\OD{OD} \DeclareMathOperator\Cl{Cl} \DeclareMathOperator\BinTet{2T} \DeclareMathOperator\BinOct{2O} \DeclareMathOperator\BinIcos{2I} \DeclareMathOperator\Aff{Aff} \DeclareMathOperator\BS{BS} \newcommand{\normal}{\lhd} \newcommand{\normaleq}{\unlhd} \newcommand{\nnormal}{\ntriangleleft} \newcommand{\nnormaleq}{\ntrianglelefteq} \def\longto{\longrightarrow} \def\into{\hookrightarrow} \def\longinto{\longhookrightarrow} \def\onto{\twoheadrightarrow} \DeclareRobustCommand\longonto{\relbar\joinrel\twoheadrightarrow} \DeclareMathOperator{\Image}{Im} \DeclareMathOperator\Ker{Ker} \DeclareMathOperator{\Id}{Id} \newcommand{\ceil}[1] {\left\lceil #1 \right\rceil} \newcommand{\floor}[1] {\left\lfloor #1 \right\rfloor} \definecolor{xRed}{RGB}{229, 31, 58} \definecolor{xBlue}{RGB}{68, 119, 170} \definecolor{xGreen}{RGB}{33, 135, 51} \definecolor{xPurple}{RGB}{170, 51, 119} \definecolor{xOrange}{RGB}{ 197, 83, 17} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \newcommand{\fillinmath}[1]{\mathchoice{\underline{\displaystyle \phantom{\ \,#1\ \,}}}{\underline{\textstyle \phantom{\ \,#1\ \,}}}{\underline{\scriptstyle \phantom{\ \,#1\ \,}}}{\underline{\scriptscriptstyle\phantom{\ \,#1\ \,}}}} \)

Abstract Algebra IMATH 4107 Summer 2026

Dr. Hunter Lehmann

School of Mathematics
Georgia Institute of Technology

Last Updated: May 29, 2026

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