Geodesic
Finding of units for integer group rings of orders 16 and 32 cyclic groups
Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 4, pp. 30-55

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The groups of integer group rings units for cyclic groups of orders 16 and 32 are described. This description is obtained as a direct product of their subgroups. Generators of one of the subgroups are found for orders 16 and 32.
Keywords: group ring, group ring unit, cyclic group, primitive root, track, character. 
@article{CHFMJ_2016_1_4_a2,
     author = {R. Zh. Aleev and O. V. Mitina and T. A. Khanenko},
     title = {Finding of units  for integer group rings of orders 16 and 32 cyclic groups},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {30--55},
     publisher = {mathdoc},
     volume = {1},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_4_a2/}
}
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R. Zh. Aleev; O. V. Mitina; T. A. Khanenko. Finding of units  for integer group rings of orders 16 and 32 cyclic groups. Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 4, pp. 30-55. http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_4_a2/