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Group algebras whose involutory units commute |
Tartalom: | http://real.mtak.hu/3392/ |
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Archívum: | MTA Könyvtár |
Gyűjtemény: |
Status = Published
Type = Article |
Cím: |
Group algebras whose involutory units commute
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Létrehozó: |
Bódi, Viktor
Dokuchaev, M.
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Kiadó: |
Springer Verlag
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Dátum: |
2002-03
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Téma: |
QA Mathematics / matematika
QA72 Algebra / algebra
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Tartalmi leírás: |
Let K be a field of characteristic 2 and G a non-abelian locally finite 2-group. Let V(KG) be the group of units with augmentation 1 in the group algebra KG. An explicit list of groups is given, and it is proved that all involutions in V(KG) commute with each other if and only if G is isomorphic to one of the groups on this list. In particular, this property depends only on G and does not depend on K.
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Típus: |
Article
PeerReviewed
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Formátum: |
application/pdf
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Azonosító: |
Bódi, Viktor and Dokuchaev, M. (2002) Group algebras whose involutory units commute. Algebra Colloquium, 9 (1). pp. 49-64. ISSN 1005-3867
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Kapcsolat: |