Geodesic
The Characterisation of Modular Group Algebras Having Unit Groups of Nilpotency Class 3
Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 112-116

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DOI

The unit group of the modular group algebra of a finite p-group in characteristic p is nilpotent. The p-groups for which it is of nilpotency class 3 were determined in work of Coleman, Passman, Shalev and Mann when p ≥ 3. We resolve the p = 2 case here which completes the classification.
DOI : 10.4153/CMB-1995-015-0
Mots-clés : 16U60, 16S34, 20C05, 20C20, 20D15, modular group algebra, p-group, nilpotency class 3, unit group 
Rao, M. Anwar. The Characterisation of Modular Group Algebras Having Unit Groups of Nilpotency Class 3. Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 112-116. doi: 10.4153/CMB-1995-015-0
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     title = {The {Characterisation} of {Modular} {Group} {Algebras} {Having} {Unit} {Groups} of {Nilpotency} {Class} 3},
     journal = {Canadian mathematical bulletin},
     pages = {112--116},
     year = {1995},
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     number = {1},
     doi = {10.4153/CMB-1995-015-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-015-0/}
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