| Tartalom: |
http://real.mtak.hu/5551/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
Lie nilpotency indices of modular group algebras
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| Létrehozó: |
Bódi, Viktor
Srivastava, J. B.
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| Kiadó: |
World Scientific Publishing
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| Dátum: |
2010
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| Téma: |
QA Mathematics / matematika
QA72 Algebra / algebra
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| Tartalmi leírás: |
Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that if KG is Lie nilpotent, then its tipper (or lower) Lie nilpotency index is at most vertical bar G'vertical bar +1, where vertical bar G'vertical bar is the order of the commutator subgroup. The class of groups G for which these indices are maximal or almost maximal has already been determined. Here we determine G for which tipper (or lower) Lie nilpotency index is the next highest possible.
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| Típus: |
Article
PeerReviewed
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| Formátum: |
text
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| Azonosító: |
Bódi, Viktor and Srivastava, J. B. (2010) Lie nilpotency indices of modular group algebras. ALGEBRA COLLOQUIUM, 17 (1). pp. 17-26. ISSN 1005-3867
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