Modular Group Algebras with Almost Maximal Lie Nilpotency Indices
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2006/05/25
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Indian UGC (journal)
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Refrences13
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Citations12
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Victor Bovdi
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Tibor Juhász
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Ernesto Spinelli
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| 10.1070/SM1987v057n01ABEH003061 | 1987 | |||
| On Some Properties of Groups Whose Orders are Powers of Primes | Proceedings of the London Mathematical Society |
| 16 | 1913 |
| 10.5486/PMD.2004.3234 | 2004 | |||
| Lie Properties of the Group Algebra and the Nilpotency Class of the Group of Units | Journal of Algebra |
| 25 | 1999 |
| 10.1007/BF01199099 | Archiv der Mathematik |
| 1993 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 4 |
The category
Science: Mathematics 4
is the most frequently represented among the references in this article. It primarily includes studies from Bulletin of the London Mathematical Society and Journal of Algebra. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
A note on modular group algebras with upper Lie nilpotency indices | Algebra and Discrete Mathematics |
| 2022 | |
Lie nilpotency index of a modular group algebra | Asian-European Journal of Mathematics |
| 2020 | |
| On the lower Lie nilpotency index of a group algebra | Quaestiones Mathematicae |
| 1 | 2020 |
A note on the upper Lie nilpotency index of a group algebra | Asian-European Journal of Mathematics |
| 2019 | |
Modular group algebras of Lie nilpotency index 8p − 6 | Asian-European Journal of Mathematics |
| 2018 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 11 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 3 |
The category
Science: Mathematics 11
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Lie Nilpotency Indices of Modular Group Algebras and was published in 2010. The most recent citation comes from a 2022 study titled A note on modular group algebras with upper Lie nilpotency indices. This article reached its peak citation in 2020, with 2 citations. It has been cited in 7 different journals. Among related journals, the Asian-European Journal of Mathematics cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.