Intense automorphisms of finite groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence
American Mathematical Society
[2021]
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 273, number 1341 (fourth of 5 numbers) |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | viii,115 Seiten |
| ISBN: | 9781470450038 |
Internformat
MARC
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| 100 | 1 | |a Stanojkovski, Mima |0 (DE-588)1253908699 |4 aut | |
| 245 | 1 | 0 | |a Intense automorphisms of finite groups |c Mima Stanojkovski |
| 264 | 1 | |a Providence |b American Mathematical Society |c [2021] | |
| 300 | |a viii,115 Seiten | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 273, number 1341 (fourth of 5 numbers) | |
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Datensatz im Suchindex
| _version_ | 1804183498432446464 |
|---|---|
| adam_text | ics 125:
133!
138)
139°
147°
Computing 153
ERS WITH QUANTUM
S 154
M COMPUTING 157!
Contents I xi
CHAPTER 17 GAALOPWeb as a Qubit Calculator 163
17 1 QUBIT ALGEBRA QBA 163
17 2 GAALOPWEB FOR QUBITS 164
17 3 THE NOT-OPERATION ON A QUBIT 165
17 4 THE 2-QUBIT ALGEBRA QBA2 165
CHAPTER 18 = Appendix 169
18 1 APPENDIX A: PYTHON CODE FOR THE GENERATION OF
OPTIMIZED MATHEMATICA CODE FROM GAALOP 169
Bibliography 173
Index 177
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erican
ostage
atical
tion
ences
Contents
List of Symbols
Chapter 1 Introduction
Chapter 2 Coprime Actions
2 1 Actions through characters
2 2 Involutions
2 3 Jumps and width
Chapter 3 Intense Automorphisms
3 1 Basic properties
3 2 The main question
3 3 The abelian case
Chapter 4 Intensity of Groups of Class 2
4 1 Small commutator subgroup
4 2 More general setting
4 3 The extraspecial case
Chapter 5 Intensity of Groups of Class 3
9 1 Low intensity
5 2 Intensity given the automorphism
5 3 Constructing intense automorphisms
Chapter 6 Some Structural Restrictions
6 1 Normal subgroups
6 2 About the third width
63A bound on the width
Chapter 7 Higher Nilpotency Classes
7 1 Class 4 and intensity
7 2 Class 5 and intensity
Chapter 8 A Disparity between the Primes
8 1 Regularity
82 Rank
83A sharper bound on the width
Chapter 9 The Special Case of 3-groups
9 1 The cubing map
92A specific example
9 3 Structures on vector spaces
iii
vii
CONTENTS
9 4 Structures and free groups
9 5 Extensions
9 6 Constructing automorphisms
9 7 Intensity
Chapter 10 Obelisks
10 1 Some properties
10 2 Power maps and commutators
10 3 Framed obelisks
10 4 Subgroups of obelisks
Chapter 11 The Most Intense Chapter
11 1 The even case
11 2 The odd case, part I
11 3 The odd case, part II
11 4 Proving the main theorems
Chapter 12 High Class Intensity
12 1 A special case
12 2 The last exotic case
12 3 Proving the main theorem
Chapter 13 Intense Automorphisms of Profinite Groups
13 1 Some background
13 2 Properties and intensity
13 3 Non-abelian groups, part I
13 4 Two infinite groups
13 5 Non-abelian groups, part: II
13 6 Proving the main theorems and more
Bibliography
Index
an
for
He
thi
|
| adam_txt |
ics 125:
133!
138)
139°
147°
Computing 153
ERS WITH QUANTUM
S 154
M COMPUTING 157!
Contents I xi
CHAPTER 17 GAALOPWeb as a Qubit Calculator 163
17 1 QUBIT ALGEBRA QBA 163
17 2 GAALOPWEB FOR QUBITS 164
17 3 THE NOT-OPERATION ON A QUBIT 165
17 4 THE 2-QUBIT ALGEBRA QBA2 165
CHAPTER 18 = Appendix 169
18 1 APPENDIX A: PYTHON CODE FOR THE GENERATION OF
OPTIMIZED MATHEMATICA CODE FROM GAALOP 169
Bibliography 173
Index 177
cessible
ts of six
ws: for
55 list,
are also
within
to late
may be
y, P O
Other
A,
ibraries
ges for
tion in
ication
ission
er For
org
1 cases,
hor(s)
of the
line))
erican
ostage
atical
tion
ences
Contents
List of Symbols
Chapter 1 Introduction
Chapter 2 Coprime Actions
2 1 Actions through characters
2 2 Involutions
2 3 Jumps and width
Chapter 3 Intense Automorphisms
3 1 Basic properties
3 2 The main question
3 3 The abelian case
Chapter 4 Intensity of Groups of Class 2
4 1 Small commutator subgroup
4 2 More general setting
4 3 The extraspecial case
Chapter 5 Intensity of Groups of Class 3
9 1 Low intensity
5 2 Intensity given the automorphism
5 3 Constructing intense automorphisms
Chapter 6 Some Structural Restrictions
6 1 Normal subgroups
6 2 About the third width
63A bound on the width
Chapter 7 Higher Nilpotency Classes
7 1 Class 4 and intensity
7 2 Class 5 and intensity
Chapter 8 A Disparity between the Primes
8 1 Regularity
82 Rank
83A sharper bound on the width
Chapter 9 The Special Case of 3-groups
9 1 The cubing map
92A specific example
9 3 Structures on vector spaces
iii
vii
CONTENTS
9 4 Structures and free groups
9 5 Extensions
9 6 Constructing automorphisms
9 7 Intensity
Chapter 10 Obelisks
10 1 Some properties
10 2 Power maps and commutators
10 3 Framed obelisks
10 4 Subgroups of obelisks
Chapter 11 The Most Intense Chapter
11 1 The even case
11 2 The odd case, part I
11 3 The odd case, part II
11 4 Proving the main theorems
Chapter 12 High Class Intensity
12 1 A special case
12 2 The last exotic case
12 3 Proving the main theorem
Chapter 13 Intense Automorphisms of Profinite Groups
13 1 Some background
13 2 Properties and intensity
13 3 Non-abelian groups, part I
13 4 Two infinite groups
13 5 Non-abelian groups, part: II
13 6 Proving the main theorems and more
Bibliography
Index
an
for
He
thi |
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| index_date | 2024-07-03T19:26:34Z |
| indexdate | 2024-07-10T09:24:24Z |
| institution | BVB |
| isbn | 9781470450038 |
| language | English |
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| physical | viii,115 Seiten |
| publishDate | 2021 |
| publishDateSearch | 2021 |
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| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Stanojkovski, Mima (DE-588)1253908699 aut Intense automorphisms of finite groups Mima Stanojkovski Providence American Mathematical Society [2021] viii,115 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 273, number 1341 (fourth of 5 numbers) Memoirs of the American Mathematical Society volume 273, number 1341 (fourth of 5 numbers) (DE-604)BV008000141 1341 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033274388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stanojkovski, Mima Intense automorphisms of finite groups Memoirs of the American Mathematical Society |
| title | Intense automorphisms of finite groups |
| title_auth | Intense automorphisms of finite groups |
| title_exact_search | Intense automorphisms of finite groups |
| title_exact_search_txtP | Intense automorphisms of finite groups |
| title_full | Intense automorphisms of finite groups Mima Stanojkovski |
| title_fullStr | Intense automorphisms of finite groups Mima Stanojkovski |
| title_full_unstemmed | Intense automorphisms of finite groups Mima Stanojkovski |
| title_short | Intense automorphisms of finite groups |
| title_sort | intense automorphisms of finite groups |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033274388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT stanojkovskimima intenseautomorphismsoffinitegroups |