Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Automorphism Orbits and Element Orders in Finite Groups
| Automorphism Orbits and Element Orders in Finite Groups |
| Autore | Bors Alexander |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2023 |
| Descrizione fisica | 1 online resource (108 pages) |
| Disciplina |
512/.23
512.23 |
| Altri autori (Persone) |
GiudiciMichael
PraegerCheryl E |
| Collana | Memoirs of the American Mathematical Society Series |
| Soggetto topico |
Finite groups
Automorphisms Group theory and generalizations -- Abstract finite groups -- Arithmetic and combinatorial problems Group theory and generalizations -- Abstract finite groups -- Finite simple groups and their classification Group theory and generalizations -- Abstract finite groups -- Automorphisms |
| ISBN | 1-4704-7543-X |
| Classificazione | 20D6020D0520D45 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. Statement of our main results -- 1.2. Overview of the proofs of Theorems 1.1.2 and 1.1.3 -- 1.3. Some related open questions -- Chapter 2. Notation -- Chapter 3. Proof of Theorem 1.1.3 -- 3.1. Sporadic groups -- 3.2. Alternating groups -- 3.3. Groups of Lie type -- Chapter 4. Proof of Theorem 1.1.2(1) -- Chapter 5. Proof of Theorem 1.1.2(2) -- 5.1. Reduction to semisimple groups -- 5.2. Two lemmas for working with partitions -- 5.3. Some auxiliary results on finite simple groups -- 5.4. Gaining some control over socle cosets in finite semisimple groups -- 5.5. Another equivalent reformulation of Theorem 1.1.2(2) -- 5.6. A bit of elementary number theory -- 5.7. Some results concerning the classes \Hcal_{ ̂, ̂, ̂} -- 5.8. More restrictions on finite semisimple groups with bounded \q-value -- 5.9. Completing the proof of Theorem 1.1.2(2) -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910915794303321 |
Bors Alexander
|
||
| Providence : , : American Mathematical Society, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Intense Automorphisms of Finite Groups
| Intense Automorphisms of Finite Groups |
| Autore | Stanojkovski Mima |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (132 pages) |
| Disciplina | 512/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Finite groups
Automorphisms Nilpotent groups Group theory and generalizations -- Abstract finite groups -- Nilpotent groups, $p$-groups Group theory and generalizations -- Abstract finite groups -- Automorphisms Group theory and generalizations -- Special aspects of infinite or finite groups -- Automorphism groups of groups Group theory and generalizations -- Structure and classification of infinite or finite groups -- Limits, profinite groups Group theory and generalizations -- Structure and classification of infinite or finite groups -- Automorphisms of infinite groups |
| ISBN |
9781470468118
9781470450038 |
| Classificazione | 20D1520D4520F2820E1820E36 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- 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 -- 5.1. 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 -- 6.3. A 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 -- 8.2. Rank -- 8.3. A sharper bound on the width -- Chapter 9. The Special Case of 3-groups -- 9.1. The cubing map -- 9.2. A specific example -- 9.3. Structures on vector spaces -- 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 -- Back Cover. |
| Record Nr. | UNINA-9910968203903321 |
|
Stanojkovski Mima
|
||
| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
- Automorphisms (2)
- Finite groups (2)
-
Group theory and generalizations -- Abstract finite groups -- Automorphisms
(2)
- Group theory and generalizations -- Abstract finite groups -- Arithmetic and combinatorial problems (1)
- Group theory and generalizations -- Abstract finite groups -- Finite simple groups and their classification (1)