Groups generated by two bicyclic units in integral group rings

DOI10.1515/jgth.2002.018zbMath1009.16030OpenAlexW2034070131MaRDI QIDQ4779671

Eric Jespers, Ángel Del Río, Manuel Ruiz Marin

Publication date: 24 April 2003

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10317/999

zbMATH Keywords

finite groupssubgroups of finite indexfree groupsunit groupsintegral group ringscentral unitsBass cyclic unitsbicyclic units

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Free nonabelian groups (20E05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (8)

Bass units as free factors in integral group rings of simple groups. ⋮ Rational group algebras of finite groups: from idempotents to units of integral group rings. ⋮ Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ Free Pairs of Bicyclic Units in the Integral Group Ring of the Dihedral Group ⋮ From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups ⋮ Bicyclic units, Bass cyclic units and free groups ⋮ Alternating units as free factors in the group of units of integral group rings

Cites Work

• Non-Free Points for Groups Generated by a Pair of 2×2 Matrices

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