Group algebras whose groups of normalized units have exponent 4
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 141-148
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We give a full description of locally finite $2$-groups $G$ such that the normalized group of units of the group algebra $FG$ over a field $F$ of characteristic $2$ has exponent $4$.
DOI :
10.21136/CMJ.2018.0386-16
Classification :
16S34, 16U60
Keywords: group of exponent 4; unit group; modular group algebra
Keywords: group of exponent 4; unit group; modular group algebra
@article{10_21136_CMJ_2018_0386_16,
author = {Bovdi, Victor and Salim, Mohammed},
title = {Group algebras whose groups of normalized units have exponent 4},
journal = {Czechoslovak Mathematical Journal},
pages = {141--148},
publisher = {mathdoc},
volume = {68},
number = {1},
year = {2018},
doi = {10.21136/CMJ.2018.0386-16},
mrnumber = {3783590},
zbl = {06861572},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0386-16/}
}
TY - JOUR AU - Bovdi, Victor AU - Salim, Mohammed TI - Group algebras whose groups of normalized units have exponent 4 JO - Czechoslovak Mathematical Journal PY - 2018 SP - 141 EP - 148 VL - 68 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0386-16/ DO - 10.21136/CMJ.2018.0386-16 LA - en ID - 10_21136_CMJ_2018_0386_16 ER -
%0 Journal Article %A Bovdi, Victor %A Salim, Mohammed %T Group algebras whose groups of normalized units have exponent 4 %J Czechoslovak Mathematical Journal %D 2018 %P 141-148 %V 68 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0386-16/ %R 10.21136/CMJ.2018.0386-16 %G en %F 10_21136_CMJ_2018_0386_16
Bovdi, Victor; Salim, Mohammed. Group algebras whose groups of normalized units have exponent 4. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 141-148. doi: 10.21136/CMJ.2018.0386-16
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