The modular group algebras of p-groups of maximal class II
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DOI: 10.1080/00927872.2018.1498860
Abstract: Abstract The 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… read more here.
Keywords: modular group; maximal class; class; group algebras ... See more keywords
Constituents of graded Lie algebras of maximal class and chains of thin Lie algebras
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DOI: 10.1080/00927872.2021.1967368
Abstract: Abstract A thin Lie algebra is a Lie algebra L, graded over the positive integers, with its first homogeneous component L 1 of dimension two and generating L, and such that each nonzero ideal of… read more here.
Keywords: lie; lie algebras; maximal class; thin lie ... See more keywords
Character degrees of 5-groups of maximal class
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DOI: 10.1515/jgth-2023-0103
Abstract: Abstract Let 𝐺 be a 5-group of maximal class with major centralizer G 1 = C G ( G 2 / G 4 ) G_{1}=C_{G}({G_{2}}/{G_{4}}) . In this paper, we prove that the irreducible… read more here.
Keywords: group maximal; maximal class; character degrees;