On the order of unitary subgroup of the modular group algebra 𝔽2kD2N

DOI10.1142/S0219498815501297zbMath1317.16034MaRDI QIDQ5255750

Neha Makhijani, J. B. Srivastava, Rajendra K. Sharma

Publication date: 19 June 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

groups of unitsdihedral groupsmodular group algebrasunitary units

Mathematics Subject Classification ID

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 (4)

Unitary units of the group algebra of modular groups ⋮ Jordan regular units in rings and group rings ⋮ Unitary subgroups of commutative group algebras of the characteristic two ⋮ Structure of unit group of FpnD60

Cites Work

• Lie properties of the group algebra and the nilpotency class of the group of units
• Autodual normal bases and unitary groups of characteristic 2
• On the order of the unitary subgroup of a modular group algebra
• UNITS IN F₂D_2p
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