Counting 2 X 2 Orthogonal Matrices over the ring Zp[i] [on hold]Counting $2times2$ Orthogonal matrices over...

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Counting 2 X 2 Orthogonal Matrices over the ring Zp[i] [on hold]


Counting $2times2$ Orthogonal matrices over the ring $Bbb{Z}_p[i]$.On the distribution of unimodular matrices generated by the Hermite normal formHow many orthogonal matrices are there over a given finite ring or field?A puzzle on orthogonal matrices modulo $p$Given matrices $A,B$, minimize $|UAV^T - B|_F$ over orthogonal matrices $U, V$How many orthogonal $4 times 4$ matrices $A$ are there with $0< |(a)_{ij}| leq 1/2$.Number of orthogonal matrices with same absolute value of elementsInvertible matrices over a number field or $mathbb{Z}$Product rule for determinant over a commutative ring.How many degrees of freedom do orthogonal skew-symmetric matrices have?Counting square matrices of given rank over a finite field













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$begingroup$


Our research is about counting the number of orthogonal matrices over the ring gaussian integer modulo p.



A is said to be orthogonal if AA^T=I.



My question is how many 2 by 2 orthogonal matrices, where the entries are Zp[i]










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New contributor




Fiona Faye Villaruel is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







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put on hold as unclear what you're asking by Martin R, José Carlos Santos, John Omielan, Toby Mak, Thomas Shelby 2 days ago


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.














  • 5




    $begingroup$
    What's the question?
    $endgroup$
    – Lord Shark the Unknown
    2 days ago










  • $begingroup$
    Please do not use upper case letters in the title (looks like you are shouting).
    $endgroup$
    – Dietrich Burde
    2 days ago


















-6












$begingroup$


Our research is about counting the number of orthogonal matrices over the ring gaussian integer modulo p.



A is said to be orthogonal if AA^T=I.



My question is how many 2 by 2 orthogonal matrices, where the entries are Zp[i]










share|cite|improve this question









New contributor




Fiona Faye Villaruel is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$



put on hold as unclear what you're asking by Martin R, José Carlos Santos, John Omielan, Toby Mak, Thomas Shelby 2 days ago


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.














  • 5




    $begingroup$
    What's the question?
    $endgroup$
    – Lord Shark the Unknown
    2 days ago










  • $begingroup$
    Please do not use upper case letters in the title (looks like you are shouting).
    $endgroup$
    – Dietrich Burde
    2 days ago
















-6












-6








-6





$begingroup$


Our research is about counting the number of orthogonal matrices over the ring gaussian integer modulo p.



A is said to be orthogonal if AA^T=I.



My question is how many 2 by 2 orthogonal matrices, where the entries are Zp[i]










share|cite|improve this question









New contributor




Fiona Faye Villaruel is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




Our research is about counting the number of orthogonal matrices over the ring gaussian integer modulo p.



A is said to be orthogonal if AA^T=I.



My question is how many 2 by 2 orthogonal matrices, where the entries are Zp[i]







linear-algebra orthogonal-matrices






share|cite|improve this question









New contributor




Fiona Faye Villaruel is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




Fiona Faye Villaruel is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited 2 days ago







Fiona Faye Villaruel













New contributor




Fiona Faye Villaruel is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 2 days ago









Fiona Faye VillaruelFiona Faye Villaruel

11




11




New contributor




Fiona Faye Villaruel is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Fiona Faye Villaruel is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Fiona Faye Villaruel is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as unclear what you're asking by Martin R, José Carlos Santos, John Omielan, Toby Mak, Thomas Shelby 2 days ago


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.









put on hold as unclear what you're asking by Martin R, José Carlos Santos, John Omielan, Toby Mak, Thomas Shelby 2 days ago


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.










  • 5




    $begingroup$
    What's the question?
    $endgroup$
    – Lord Shark the Unknown
    2 days ago










  • $begingroup$
    Please do not use upper case letters in the title (looks like you are shouting).
    $endgroup$
    – Dietrich Burde
    2 days ago
















  • 5




    $begingroup$
    What's the question?
    $endgroup$
    – Lord Shark the Unknown
    2 days ago










  • $begingroup$
    Please do not use upper case letters in the title (looks like you are shouting).
    $endgroup$
    – Dietrich Burde
    2 days ago










5




5




$begingroup$
What's the question?
$endgroup$
– Lord Shark the Unknown
2 days ago




$begingroup$
What's the question?
$endgroup$
– Lord Shark the Unknown
2 days ago












$begingroup$
Please do not use upper case letters in the title (looks like you are shouting).
$endgroup$
– Dietrich Burde
2 days ago






$begingroup$
Please do not use upper case letters in the title (looks like you are shouting).
$endgroup$
– Dietrich Burde
2 days ago












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