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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2021 Volume 18, Issue 1, Pages 622–639 (Mi semr1386)

Mathematical logic, algebra and number theory

Groups of central units of rank 1 of integral group rings of Frobenius metacyclic groups

E. O. Shumakova

South Ural State Humanitarian Pedagogical University, 69, Lenina ave., Chelyabinsk, 454080, Russia

Abstract: We describe groups of central units of integral group rings of Frobenius metacyclic groups of orders 39 and 156, and thus complete the study on groups of central units of rank 1 of integral group rings of Frobenius metacyclic groups for the case when $m$ is a prime number.

Keywords: Frobenius group, metacyclic group, central units, integral group rings.

UDC: 512.552.7

MSC: 16S34

Received October 9, 2020, published June 3, 2021

Language: English

DOI: 10.33048/semi.2021.18.045



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© Steklov Math. Inst. of RAS, 2024