The modular group algebras ofp-groups of maximal class II
Czesław Bagiński , János Kurdics
AbstractThe modular isomorphism problem is settled for 3-groups of maximal class but two families of groups. Moreover, the conjecture that the ideals belonging to the lower central series of a group base are determined by the structure of the group algebra is refuted in greatest generality by virtue of a single group of order 81 of maximal class, and it is proved that the nilpotency class is determined by the structure of the group algebra for p-groups of maximal class.
|Journal series||Communications in Algebra, ISSN 0092-7872, (N/A 70 pkt)|
|Publication size in sheets||0.5|
|Keywords in English||Finite p-group, group algebra, maximal class, modular, isomorphism problem|
|Score|| = 15.0, 11-07-2019, manual|
= 70.0, 04-03-2020, ArticleFromJournal
|Publication indicators||: 2018 = 0.94; : 2018 = 0.501 (2) - 2018=0.536 (5)|
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