Makhijani, Neha and Sharma, R. K. and Srivastava, J. B. (2014) A note on units in FpmD2pn. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 30 (1). pp. 17-25. ISSN 0866-0174
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Abstract
Let p be a prime and FpmD2pn be the group algebra of the dihedral group D2pn of order 2p n over Fpm = GF(p m). In this note, the structure of the unitary subgroup of the group of units of FpmD2pn with respect to canonical involution ∗ is established when p > 2. The unit group of the group algebra FpmD2pn is discussed. It is shown that any unit in F2mD2n is expressible as a product of a unitary unit and a symmetric unit. Additionally the structure of the center of the maximal p-subgroup of the unit group U(FpmD2pn ) is given when p > 2.
| Item Type: | Article |
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| Uncontrolled Keywords: | group algebra, unit group, unitary unit, symmetric unit |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 06 Feb 2024 08:18 |
| Last Modified: | 06 Feb 2024 08:18 |
| URI: | http://real.mtak.hu/id/eprint/187610 |
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