We show that elementary abelian direct factors can be disregarded in the study of the modular isomorphism problem. Moreover, we obtain four new series of abelian invariants of the group base in the modular group algebra of a finite p-group. Finally, we apply our results to new classes of groups.
Abelian invariants and a reduction theorem for the modular isomorphism problem / Margolis, L.; Sakurai, T.; Stanojkovski, M.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 636:(2023), pp. 533-559. [10.1016/j.jalgebra.2023.08.035]
Abelian invariants and a reduction theorem for the modular isomorphism problem
Stanojkovski M.
2023-01-01
Abstract
We show that elementary abelian direct factors can be disregarded in the study of the modular isomorphism problem. Moreover, we obtain four new series of abelian invariants of the group base in the modular group algebra of a finite p-group. Finally, we apply our results to new classes of groups.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
abelian-invs.pdf
embargo fino al 15/12/2025
Tipologia:
Post-print referato (Refereed author’s manuscript)
Licenza:
Creative commons
Dimensione
505.29 kB
Formato
Adobe PDF
|
505.29 kB | Adobe PDF | Visualizza/Apri |
|
1-s2.0-S0021869323004374-main.pdf
Solo gestori archivio
Tipologia:
Versione editoriale (Publisher’s layout)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
502.53 kB
Formato
Adobe PDF
|
502.53 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
