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Modular group algebras with almost maximal Lie nilpotency indices II.

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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
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