Symmetric Elements of Nonlinear Involutions in Group Rings
2012 ◽
Vol 19
(spec01)
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pp. 1041-1050
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Keyword(s):
Given an involution φ : G → G in a group G and a ring R, we study the extensions, not necessarily linear, to an involution ψ : RG → RG in the group ring RG. We investigate the symmetric elements, those α ∈ RG for which ψ(α) = α, and give necessary and sufficient conditions for the set of symmetric elements, (RG)ψ, to be a subring of RG. This work is a generalization of [6] and references therein where only linear extensions of the group involution are considered.
2007 ◽
Vol 50
(1)
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pp. 37-47
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1995 ◽
Vol 59
(2)
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pp. 232-243
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2005 ◽
Vol 04
(02)
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pp. 127-137
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1980 ◽
Vol 32
(5)
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pp. 1266-1269
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1985 ◽
Vol 31
(3)
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pp. 355-363
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1974 ◽
Vol 26
(1)
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pp. 121-129
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Keyword(s):
2012 ◽
Vol 12
(03)
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pp. 1250145
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