Conjugacy classes of torsion units of the integral group ring of d<sub>p</sub>

Bhandari, Ashwani K.; Luthar, Indar S.

doi:10.1080/00927878308822922

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Cited by 4 publications

(2 citation statements)

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“…Therefore, in V (2~p Dp), the genus of (a) splits into (p -1)/2 conjugacy classes. Hence, using the result in Bhandari and Luthar [2], we see that for units of order p there is no other genus than the principal genus.…”

Section: T ]mentioning

confidence: 88%

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Torsion units in integral group rings, conjugacy classes globally versus locally

Zimmermann

1996

Arch. Math

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Section: T ]mentioning

confidence: 88%

“…If 2 is not prime, then there are non zero elements in 2~ [co (p)] not being mapped to a unit modulo 2 and we get more genera of involutions. If the orders of the residue fields are not coprime then the condition of [2] that only units which become trivial modulo operate, gives us more than two genera.…”

Section: T ]mentioning

confidence: 99%

Torsion units in integral group rings, conjugacy classes globally versus locally

Zimmermann

1996

Arch. Math

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Integral group rings: Groups of units and classical K-theory

Артамонов¹,

Bovdi²

1991

J Math Sci

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This survey contains results obtained in this area from the second half of the sixties to the present time. In the group of units of the group ring, normal periodic subgroups, elements of finite order, free subgroups, congruence subgroups, questions of conjugacy of finite subgroups, and matrix representations are considered. Moreover, questions connected with the calculation of the groups K0, K I for group rings are discussed with a description of the structure of projective modules, groups of invertib!e matrices, etc.

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