-
Notifications
You must be signed in to change notification settings - Fork 3
/
Copy pathgroig.tex
113 lines (88 loc) · 3 KB
/
groig.tex
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
\documentclass[oneside]{amsbook}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{amsfonts}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{mathtools}
\usepackage{microtype}
\usepackage{tikz-cd}
\usepackage{hyperref}
\usepackage{cleveref}
\newtheorem{theorem}{Theorem}[chapter]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}
\theoremstyle{definition}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{notation}[theorem]{Notation}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem*{claim}{Claim}
\newtheorem{exercise}{Exercise}[section]
\theoremstyle{remark}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{warning}[theorem]{Warning}
\numberwithin{section}{chapter}
\numberwithin{equation}{chapter}
\newcommand{\acts}{\curvearrowright}
\newcommand{\epi}{\twoheadrightarrow}
\newcommand{\mono}{\hookrightarrow}
\newcommand{\normal}{\vartriangleleft}
\newcommand{\abs}[1]{\lvert #1 \rvert}
\newcommand{\biggp}[2]{\left\langle \, #1 \, \middle| \, #2 \, \right\rangle}
\newcommand{\gen}[1]{\langle #1 \rangle}
\newcommand{\gp}[2]{\langle \, #1 \, | \, #2 \, \rangle}
\newcommand{\inner}[2]{\langle #1, \, #2 \rangle}
\newcommand{\ncls}[1]{\left\langle\!\left\langle #1 \right\rangle\!\right\rangle}
\newcommand{\norm}[1]{\left\lVert #1 \right\rVert}
\newcommand{\set}[2]{\left\{ #1 \,\middle|\, #2 \right\}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\F}{\mathbb{F}}
\newcommand{\HH}{\mathbb{H}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\cO}{\mathcal{O}}
\newcommand{\cP}{\mathcal{P}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\Aut}{\mathrm{Aut}}
\newcommand{\Aff}{\mathrm{Aff}}
\newcommand{\chr}{\mathrm{char}}
\newcommand{\End}{\mathrm{End}}
\newcommand{\GL}{\mathrm{GL}}
\newcommand{\Hom}{\mathrm{Hom}}
\newcommand{\Homeo}{\mathrm{Homeo}}
\newcommand{\id}{\mathrm{id}}
\newcommand{\Mod}{\mathrm{Mod}}
\newcommand{\ord}{\mathrm{ord}}
\newcommand{\Out}{\mathrm{Out}}
\newcommand{\psupp}{\text{$p$-supp}}
\newcommand{\SL}{\mathrm{SL}}
\newcommand{\Sym}{\mathrm{Sym}}
\DeclareMathOperator{\Exists}{\exists}
\DeclareMathOperator{\Forall}{\forall}
\DeclareMathOperator{\supp}{supp}
\DeclareMathOperator{\tr}{tr}
\makeindex
\begin{document}
\frontmatter
\title{Group rings of infinite groups}
\author{Giles Gardam}
\address{University of Bonn}
\email{[email protected]}
\thanks{The students of my lecture course in winter semester 2023/2024 provided much valuable feedback and I thank them for this. In particular, Guglielmo Cametti fixed multiple typos. \\ If you see an error in this manuscript, please send me a pull request at \url{https://github.com/gilesgardam/lectures} (or, failing that, an email).}
\maketitle
\tableofcontents
\include{preface}
\mainmatter
\include{kaplansky}
\appendix
\include{overview}
\include{appendix_ws2324}
\backmatter
\bibliographystyle{alpha}
\bibliography{refs}
\printindex
\end{document}