基本介紹
- 中文名:盧家寬
- 學位/學歷:博士
- 職業:教師
- 專業方向:有限群及其表示
- 任職院校:廣西師範大學
個人經歷,主講課程,研究方向,學術成果,榮譽獎項,
個人經歷
2010年6月畢業於上海大學基礎數學專業,獲理學博士學位
2016年1月-2017年1月到西班牙瓦倫西亞大學學術訪問
2018年4月入選廣西高等學校千名骨幹教師培育計畫第一期培養人選
2018年9月-2019年2月到西南大學學術訪問
社會兼職
中國高等教育學會教育數學專業委員會常務理事,廣西數學學會常委理事,美國《數學評論》評論員。
主講課程
1. 本科生課程:《高等代數與解析幾何》、《高等代數選講》、《近世代數》、《線性代數》、《高等數學》等。
2、研究生課程:《群論基礎》、《有限群論》、《群表示論》、《群論專題》等。
研究方向
有限群及其表示
學術成果
科研項目
1.國家自然科學基金項目,有限群的極大子群與置換特(11861015), 2019/01-2022/12,38 萬元,在研,主持
2.國家自然科學基金項目,可解群的新特性及相關結構(11461007),2015/01-2018/12,36 萬元,已結題,主持
3.國家自然科學基金項目,廣義可補群的研究(11326055),2014/01- 2014/12,3 萬元,已結題,主持
4.國家自然科學基金項目,抗合謀攻擊碼的構造及其追蹤算法設(11301098),23 萬元,已結題,參與
5.國家自然科學基金項目,子群的若干算術條件與有限群的結構(11261007),2013/01-2016/12, 45 萬元,已結題,參與
6. 入選“廣西高等學校千名中青年骨幹教師培育計畫”第一期 培養計畫,2018/07- 2021/06.
論文成果
[1] J. Lu* and J. Wang, Finite groups with given quantitative surpersoluble subgroups,Journal of Algebra and Its Applications,(2020) 2050077 (5 pages),DOI:10.1142/S0219498820500772
[2] J. Lu* and W. Meng, Finite groups with certain normalizers of Sylow subgroups, Journal of Algebra and Its Applications, Journal of Algebra and Its Applications, Vol. 18, No. 6 (2019) 1950101 (4 pages)
[3] J. Lu* and W. Meng, On finite groups with non-subnormal subgroups, Communications in Algebra, 2017, 45(5): 2043-2046.
[4] J. Lu*, On a theorem of Gagola and Lewis, Journal of Algebra and Its Applications, 2107, 16(8). 1750158 (3 pages).
[5] J. Lu*, X. Qin and X. Liu, Generalizing a theorem of Gagola and Lewis characterizing nilpotent groups, Archiv der Mathematik, 2017, 108(4): 337-339.
[6] J. Lu* and W. Meng, On finite groups with non-nilpotent subgroups, Monatshefte für Mathematik, 2016, 179(1): 99-103.
[7] J. Lu* and W. Meng, On solvability of finite groups with few non-normal subgroups, Communications in Algebra, 2015, 43(5): 1752-1756.
[8] J. Lu* and Y. Qiu, On solvability of finite groups with some ss-supplemented subgroups, Czechoslovak Mathematical Journal, 2015, 65(2): 427-433.
[9] J. Lu*, L. Pang and Y. Qiu, Finite groups with few non-normal subgroups, Journal of Algebra and Its Applications, 2015, 14(4). 1550057 (5 pages).
[10] J. Lu*, L. Pang, and X. Zhong, Finite groups with non-nilpotent maximal subgroups, Monatshefte für Mathematik, 2013, 171 (3-4): 425-431.
[11] J. Lu*, X. Guo and X. Li, The influence of minimal subgroups on the structure of finite groups, Journal of Algebra and Its Application, 2013, 12(4). 1250189 (8 pages).
[12] J. Lu* and L. Pang,A note on TI-subgroups of finite groups, Proceedings of the Indian Academy of Sciences-Mathematical Sciences, 2012, 122(1): 75-77.
[13] L. Pang and J. Lu*, Finite groups and degrees of irreducible monomial characters II, Journal of Algebra and Its Applications, 2017, 16(11). 1750231(5 pages).
[14] J. Lu and X. Guo*, Finite groups all of whose second maximal subgroups are QTI subgroups, Communications in Algebra, 2012, 40(10): 3726-3732.
[15] A. Ballester-Bolinches*, R. Esteban-Romero, J. Lu, On finite groups with many supersoluble subgroups, Archiv der Mathematik, 2017, 109(1): 3-8.
[16] W. Meng*, J. Lu, Li Ma and W. Ma, Some sufficient conditions on solvability of finite groups, Journal of Algebra and Its Applications, 2016, 15(3). 1650057 (6 pages).
[17] L. Pang* and J. Lu, Finite groups and degrees of irreducible monomial characters, Journal of Algebra and Its Applications, 2016, 15(4). 1650073 (4 pages).
[18] W. Meng* and J. Lu, Lower bounds on conjugacy classes of non-nilpotent subgroups in a finite group, Journal of Algebra and Its Applications, 2015, 14(3). 1550039 (5 pages).
[19] W. Meng* and J. Lu, Finite groups all of whose maximal subgroups of even order are Hp-groups, Journal of Algebra and Its Applications, 2014, 13(5). 1350148 (8 pages).
[20] X. Zhong*, J. Lu and Y. Li, Finite groups whose second maximal subgroups are H_p-groups, Monatshefte für Mathematik, 2013, 172, (3-4): 477-486.
[21] W. Meng*, J. Lu and S. Li, Finite groups with few non-cyclic subgroups II, Algebra Colloquium, 2013, 20(1): 81-88.
[22] X. Guo*, and J. Lu, On SS-supplemented subgroups of finite groups and their properties,Glasgow Mathematical Journal, 2012, 54(3): 481-491.
榮譽獎項
1. 2013-2018年被評為全國大學生數學競賽廣西賽區優秀指導教師;
2. 2017獲廣西師範大學“誠華青年教師獎”;
3. 2015年獲廣西師範大學第十屆“十佳青年”稱號;
4. 2014年被評為2012-2014年度廣西師範大學優秀教師;
5. 2014年被評為獲廣西師範大學本科生就業工作先進個人。