UNITS IN F2D2p
2013 ◽
Vol 13
(02)
◽
pp. 1350090
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Keyword(s):
Let p be an odd prime, D2p be the dihedral group of order 2p, and F2 be the finite field with two elements. If * denotes the canonical involution of the group algebra F2D2p, then bicyclic units are unitary units. In this note, we investigate the structure of the group [Formula: see text], generated by the bicyclic units of the group algebra F2D2p. Further, we obtain the structure of the unit group [Formula: see text] and the unitary subgroup [Formula: see text], and we prove that both [Formula: see text] and [Formula: see text] are normal subgroups of [Formula: see text].
2015 ◽
Vol 14
(08)
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pp. 1550129
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Keyword(s):
2011 ◽
Vol 54
(2)
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pp. 237-243
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Keyword(s):
2014 ◽
Vol 13
(04)
◽
pp. 1350139
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2014 ◽
Vol 07
(02)
◽
pp. 1450034
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Keyword(s):
2017 ◽
Vol 16
(06)
◽
pp. 1750108
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Keyword(s):
2018 ◽
Vol 13
(01)
◽
pp. 2050021
Keyword(s):
2018 ◽
Vol 17
(04)
◽
pp. 1850060
Keyword(s):
Keyword(s):