ON FINITE ARITHMETIC GROUPS

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

MALININ DMITRY

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2013 | Volume:2 | Issue:1 Page(s): 199-227

Download Full-Text

Persian Verion

View:

676

Download:

173

Cites:

Information Journal Paper

Title

ON FINITE ARITHMETIC GROUPS

Author(s)

MALININ DMITRY | Issue Writer Certificate

Keywords

ALGEBRAIC INTEGERSQ4

GALOIS GROUPSQ4

INTEGRAL REPRESENTATIONSQ4

REALIZATION FIELDSQ4

Abstract

Let F be a finite extension of Q, Qp or a global field of positive characteristic, and let E/F be a Galois extension. We study the REALIZATION FIELDS of finite subgroups G of GLn(E) stable under the natural operation of the Galois group of E/F. Though for sufficiently large n and a fixed algebraic number field F every its nite extension E is realizable via adjoining to F the entries of all matrices gÎG for some finite Galois stable subgroup G of GLn(C), there is only a finite number of possible realization field extensions of F if GÌGLn(OE) over the ring OE of integers of E. After an exposition of earlier results we give their refinements for the REALIZATION FIELDS E/F. We consider some applications to quadratic lattices, arithmetic algebraic geometry and Galois cohomology of related arithmetic groups.

Cites

No record.

References

Cite

APA: Copy

MALININ, DMITRY. (2013). ON FINITE ARITHMETIC GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 2(1), 199-227. SID. https://sid.ir/paper/212648/en

Vancouver: Copy

MALININ DMITRY. ON FINITE ARITHMETIC GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2013;2(1):199-227. Available from: https://sid.ir/paper/212648/en

IEEE: Copy

DMITRY MALININ, “ON FINITE ARITHMETIC GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 2, no. 1, pp. 199–227, 2013, [Online]. Available: https://sid.ir/paper/212648/en

Related Journal Papers