NDA
Bejelentkezés
Kapcsolat
Modular group algebras with almost maximal Lie nilpotency indices II. |
Tartalom: | http://real.mtak.hu/3401/ |
---|---|
Archívum: | MTA Könyvtár |
Gyűjtemény: |
Status = Published
Type = Article |
Cím: |
Modular group algebras with almost maximal Lie nilpotency indices II.
|
Létrehozó: |
Bódi, Viktor
|
Kiadó: |
Nihon Suri Kagaku Kyokai
|
Dátum: |
2007
|
Téma: |
QA Mathematics / matematika
QA72 Algebra / algebra
|
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 upper (or lower) Lie nilpotency index is at most |G?'|+1, where |G?'| is the order of the commutator subgroup. Previously we determined the groups G for which the upper/lower nilpotency index is maximal or the upper nilpotency index is ?almost maximal? (that is, of the next highest possible value, namely |G'?| ? p + 2). Here we determine the groups for which the lower nilpotency index is ?almost maximal?.
|
Típus: |
Article
PeerReviewed
|
Formátum: |
application/pdf
|
Azonosító: |
Bódi, Viktor (2007) Modular group algebras with almost maximal Lie nilpotency indices II. Mathematica Japonica, 65 (2). pp. 267-271. ISSN 0025-5513
|
Kapcsolat: |