List questions from group-rings

Published on 07 Jul 2015 - 14:42

226

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What is the Wedderburn decomposition of $\mathbb{R}[D_{2n}]$?

Published on 16 Jul 2015 - 23:41

29

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Isomorphism problem over noncommutative rings.

Published on 20 Jul 2015 - 13:17

67

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${I}=\Delta(G,G')$ is the smallest ideal of the group ring $\mathbb{Z}{G} $ such that $\mathbb{Z}{G}/{I}$ is a commutative ring

Published on 23 Jul 2015 - 2:10

93

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Index of $\mathbb{Z}G$ in the maximal Order for cyclic $G$.

Published on 23 Jul 2015 - 18:50

32

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how to prove intersection of normal subgroups controls the ideal

Published on 12 Aug 2015 - 8:34

440

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Is the inclusion map always a module homomorphism?

Published on 28 Aug 2015 - 20:36

69

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Elements that aren't left zero divisors are invertible for certain group algebra

Published on 01 Sep 2015 - 3:52

114

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Is this module over this group algebra projective?

Published on 10 Sep 2015 - 6:23

943

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Decomposition of group algebra $\mathbb{C}[G]$

Published on 23 Sep 2015 - 7:31

100

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Calculation in a Group Ring

Published on 24 Sep 2015 - 14:16

513

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Show $D = \delta_1 +\cdots+ \delta_m$ is in the center of the group ring $RG$ .

Published on 17 Oct 2015 - 3:31

246

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Projective but not free module over groupring

Published on 21 Oct 2015 - 5:05

259

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Is it true that $(R\times S)[G]\cong R[G]\times S[G]$?

Published on 26 Oct 2015 - 18:12

30

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Express $[RG,RG]$ as $R-$ linear span of $[g,h]$

Published on 27 Oct 2015 - 5:52

List Question

Why is $Ind^G_H(M)=Ind^{G/H}_{\{e\}}$?

What is the Wedderburn decomposition of $\mathbb{R}[D_{2n}]$?

Isomorphism problem over noncommutative rings.

${I}=\Delta(G,G')$ is the smallest ideal of the group ring $\mathbb{Z}{G} $ such that $\mathbb{Z}{G}/{I}$ is a commutative ring

Index of $\mathbb{Z}G$ in the maximal Order for cyclic $G$.

how to prove intersection of normal subgroups controls the ideal

Is the inclusion map always a module homomorphism?

Elements that aren't left zero divisors are invertible for certain group algebra

Is this module over this group algebra projective?

Decomposition of group algebra $\mathbb{C}[G]$

Calculation in a Group Ring

Show $D = \delta_1 +\cdots+ \delta_m$ is in the center of the group ring $RG$ .

Projective but not free module over groupring

Is it true that $(R\times S)[G]\cong R[G]\times S[G]$?

Express $[RG,RG]$ as $R-$ linear span of $[g,h]$

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