Yıl: 2020 Cilt: 44 Sayı: 5 Sayfa Aralığı: 1783 - 1791 Metin Dili: İngilizce DOI: 10.3906/mat-2003-63 İndeks Tarihi: 30-06-2022

A note on simple trinomial units in U1(ZCp)

Öz:
In this paper, some new notions are defined about the unit group U1(ZG) of a finite group G. Especially, notion of simple unit is defined by using the number of elements in its support and absolutely small coefficients of the unit. Units are classified as monomial, binomial, trinomial and k-nomial, level, unit with level l and simple unit. We have shown triviality of monomial units and nonexistence of binomial units in the unit group U1(ZG) of an arbitrary finite group G. Some basic results and examples are posed about simple units and simple trinomial units in U1(ZCp)of a cyclic group Cp , where p ⩾ 5.
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APA gorentas n (2020). A note on simple trinomial units in U1(ZCp). , 1783 - 1791. 10.3906/mat-2003-63
Chicago gorentas necat A note on simple trinomial units in U1(ZCp). (2020): 1783 - 1791. 10.3906/mat-2003-63
MLA gorentas necat A note on simple trinomial units in U1(ZCp). , 2020, ss.1783 - 1791. 10.3906/mat-2003-63
AMA gorentas n A note on simple trinomial units in U1(ZCp). . 2020; 1783 - 1791. 10.3906/mat-2003-63
Vancouver gorentas n A note on simple trinomial units in U1(ZCp). . 2020; 1783 - 1791. 10.3906/mat-2003-63
IEEE gorentas n "A note on simple trinomial units in U1(ZCp)." , ss.1783 - 1791, 2020. 10.3906/mat-2003-63
ISNAD gorentas, necat. "A note on simple trinomial units in U1(ZCp)". (2020), 1783-1791. https://doi.org/10.3906/mat-2003-63
APA gorentas n (2020). A note on simple trinomial units in U1(ZCp). Turkish Journal of Mathematics, 44(5), 1783 - 1791. 10.3906/mat-2003-63
Chicago gorentas necat A note on simple trinomial units in U1(ZCp). Turkish Journal of Mathematics 44, no.5 (2020): 1783 - 1791. 10.3906/mat-2003-63
MLA gorentas necat A note on simple trinomial units in U1(ZCp). Turkish Journal of Mathematics, vol.44, no.5, 2020, ss.1783 - 1791. 10.3906/mat-2003-63
AMA gorentas n A note on simple trinomial units in U1(ZCp). Turkish Journal of Mathematics. 2020; 44(5): 1783 - 1791. 10.3906/mat-2003-63
Vancouver gorentas n A note on simple trinomial units in U1(ZCp). Turkish Journal of Mathematics. 2020; 44(5): 1783 - 1791. 10.3906/mat-2003-63
IEEE gorentas n "A note on simple trinomial units in U1(ZCp)." Turkish Journal of Mathematics, 44, ss.1783 - 1791, 2020. 10.3906/mat-2003-63
ISNAD gorentas, necat. "A note on simple trinomial units in U1(ZCp)". Turkish Journal of Mathematics 44/5 (2020), 1783-1791. https://doi.org/10.3906/mat-2003-63