Unit group of integral group ring <mml:math display="inline"><mml:mrow><mml:mi>ℤ</mml:mi><mml:mo class="MathClass-open">(</mml:mo><mml:mi>G</mml:mi> <mml:mo class="MathClass-bin">×</mml:mo> <mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo class="MathClass-close">)</mml:mo></mml:mrow></mml:math>
Presenting an explicit descryption of unit group in the integral group ring of a given non-abelian group is a classical and open problem. Let S3C3ℤ(S3×C3)(F55⋊F3)⋊(S3∗×C2)Fρρℤ(S3×C3)S3RS3R=ℤ[ω]ωℤ(G×C3)GV(G)GU(ℤ(G×C3))
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Miskolc University Press
2024-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/4666 |
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