HIGMAN’S CENTRAL UNIT THEORY, UNITS OF INTEGRAL GROUP RINGS OF FINITE CYCLIC GROUPS AND FIBONACCI NUMBERS

DOI10.1142/S0218196794000038zbMath0809.16039OpenAlexW2141239373MaRDI QIDQ4316605

R. Zh. Aleev

Publication date: 2 February 1995

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196794000038

zbMATH Keywords

cyclic groupscentral unitssymmetric and alternating groupsunits of integral group rings

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (11)

Units in some group rings over the ring of p-cyclotomic integers ⋮ Unnamed Item ⋮ Simple components and central units in group algebras. ⋮ Unnamed Item ⋮ The ranks of central unit groups of integral group rings of alternating groups. ⋮ Central units in some integral group rings ⋮ Groups of central units of rank 1 of integral group rings of Frobenius metacyclic groups ⋮ Units of ℤ(C_p × C₂) and ℤ(C_p × C₂ × C₂) ⋮ Finite simple groups with short Galois orbits on conjugacy classes ⋮ Unnamed Item ⋮ On the index of a free abelian subgroup in the group of central units of an integral group ring.

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