Expanding phenomena over matrix rings

Journal article

Peer reviewed

Yesim Demiroglu, Doowon Koh, Thang Pham, Chun-Yen Shen and Le Anh Vinh

Forum Mathematicum, Vol.31(4), pp.951-970

07/01/2019

Handle:

https://hdl.handle.net/20.500.12741/rep:12428

Abstract

expander

finite fields

Matrix rings

sum-product

In this paper, we study expanding phenomena in the setting of matrix rings. More precisely, we will prove that

We also obtain similar results for the cases of A(B+C) and A+BC, where A,B,C are sets in M2⁢(𝔽q).

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Title: Expanding phenomena over matrix rings
Creators: Yesim Demiroglu (Author)
Doowon Koh (Author) - Chungbuk National University
Thang Pham (Author) - University of California, San Diego
Chun-Yen Shen (Author) - National Taiwan University
Le Anh Vinh (Author) - The Vietnam National Institute of Educational Sciences
Academic Unit: Mathematics/Statistics Department
Publisher: De Gruyter
Publication Details: 07/01/2019
Grant note: Korea National Science Foundation: NRF-2018R1D1A1B07044469 Swiss National Science Foundation: P2ELP2175050 MOST: 104-2628-M-002-015-MY4
D. Koh was supported by Korea National Science Foundation grant NRF-2018R1D1A1B07044469. T. Phamwas supported by Swiss National Science Foundation grant P2ELP2175050. C-Y. Shenwas supported in part by MOST, through grant 104-2628-M-002-015-MY4.
Identifiers: 99258167963401671; https://hdl.handle.net/20.500.12741/rep:12428; https://doi.org/10.1515/forum-2019-0032
Number of pages: 20