070100|数学专业硕士研究生指导教师
姓名 邵长国 性别 男
民族 汉 出生年月 **
学历|学位 博士|研究生 专业技术职务 副教授
行政职务
联系电话 ** 移动电话 **
邮箱 shaoguozi@163.com
通讯地址|邮编 山东省济南市南辛庄西路336号 济南大学数学学院 |250022
招生方向(领域) 04代数与密码学
研究领域、学习工作经历、学术兼职等情况 本人至2011年-在济南大学工作. 主要从事有限群的研究, 特别是共轭类(长), 不变子群对群结构的影响, 特征标, 数量刻画.

代表性科研成果及奖励：
（包括项目、鉴定、论文、专著、专利等) 在《Journal of Algebra》、《Israel Journal of Mathematics》、《Annali di Matematica Pura ed Applicata》、《SCIENCE CHINA Mathematics》《Journal of Group Thoery》、《Communications in Algebra》等杂志上发表该领域的论文70余篇, 其中SCI43篇(含待发表3篇) , EI2篇. 主持山东省自然基金(面上)一项, 参与国家基金两项, 参与山东省自然基金一项.山东高等学校优秀科研成果奖三等奖两项, 济南大学济南大学优秀成果奖一等奖两项.2017.2-2017.12西班牙海梅一世大学访问.应邀在2016年全国群论会议上作大会报告: <Conjugacy calss sizes and the structure of finite groups>.
SCI论文:
Shao Changguo, Jiang Qinhui, Determining group structure by set of conjugacy class sizes, Communications in Algebra, https://doi.org/10.1080/**.2019.**
Shao Changguo, Jiang Qinhui, Finite groups whose conjugacy class sizes of primary and
biprimary elements are Hall numbers, Publ. Math. Debrecen, accepted
Jiang Qinhui, Shao Changguo, Zhan Yan, Finite groups with exactly one composite conjugacy class size, Proc. Indian Acad. Sci. (Math. Sci.), https://doi.org/10.1007/s12044-019-0547-z.
Changguo Shao, Antonio Beltrán*, Orbits of maximal invariant subgroups and solvability of finite groups, Journal of Algebra, 539(1)(2019): 117-200.
Shao Changguo, Jiang Qinhui, A New characterization of PSL$(2, q)$ by group order and the set of vanishing element orders, Algebra Colloquium, 26 : 3 (2019) 459-466.
Changguo Shao*, Antonio Beltrán, INDICES OF MAXIMAL INVARIANT SUBGROUPS AND SOLVABILITY OF FINITE GROUPS, Mediterranean Journal of Mathematics, 16 (2019), no. 3, Art. 75, 9 pp.
Antonio Beltrán*, Changguo Shao, Restrictions on maximal invariant subgroups implying solvability of finite groups, Annali di Matematica (4) , 198 (2019), no. 2, 357–366.
Antonio Beltrán*, Changguo Shao, A coprime action version of a solubility criterion of Deskins, Monatshefte für Mathematik, 188 (2019), no. 3, 461–466.
Antonio Beltrán*, Changguo Shao, Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying Solubility, Proceedings of the Edinburgh Mathematical Society, Proc. Edinb. Math. Soc. (2) 62 (2019), no. 1, 211–220.
Antonio Beltrán*, Changguo Shao, Arithmetical Conditions on Invariant Sylow Numbers, Mediterranean Journal of Mathematics, 15:49, 2018.
Shao changguo, Jiang, Qinhui, Structure of finite groups with four conjugacy class sizes of certain elements , Communications in Algebra, 2018, 46(4):1484-1491.
Antonio Beltrán*, Changguo Shao, On the number of invariant Sylow subgroups under coprime action, JOURNAL OF ALGEBRA , 490: 380–389, 2017.
Qinhui JIANG and Changguo SHAO*, A new characterization of L2(127), MATH. REPORTS, 19(69), 4 (2017), 361-366
Jinshan Zhang*, Changguo Shao, and Zhencai Shen, A new characterization of Suzuki’s simple groups, J. Algebra Appl., 16(11), 6 pages, 2017.
Q. H. Jiang; ‎C. G. Shao; W. J. Shi*; ‎Q. L. Zhang, A new characterization of L2(q) by the largest element orders, Bulletin of the Iranian Mathematical Society, 43(5), 1143–1151, 2017
Qinhui Jiang and Changguo Shao, Primary and biprimary class sizes implying nilpotency of finite groups, Turkish Journal of Mathematics, 2016，389-396
Changguo Shao, Qinhui Jiang, Characterization of groups $L_2(q)$ by NSE where $q\in\{17, 27, 29\}$, Chinese Annals of Mathematics, Series B, 2016,37(1): 103-110.
Antonio Beltran and Changguo Shao，Invariant class sizes and solvability of finite groups under coprime action，Math. Nachr. 2016, 289(2-3)：187-193
Changguo Shao, Qinhui Jiang, On normal subgroups with consecutive G-class size，Journal of Algebra and Its Applications，2016, 15(8), page 8.
Jiang, Qinhui; Shao, Changguo; A new characterization of L2(p) by NSE. Proc. Indian Acad. Sci. Math. Sci.125 (2015), no. 4, 507–510.
Changngguo Shao, Qinhui Jiang, A note on the solvability of finite groups with four particular conjugacy class sizes, Monatsh. Math., 178 (2015), no. 3, 453–456.
CHANGGUO SHAO, QINHUI JIANG, Finite groups with three conjugacy class sizes of primary and biprimary elements, Turkish Journal of Mathematics, 39 (2015), no. 3, 346–355.
Changguo Shao, A.Beltran, Coprime action and arithmetical conditions on invariant conjugacy classes, SCIENCE CHINA Mathematics, 2015, 58(12): 2499-2504.
A.Beltrán, M.J.Felipe and C.G. Shao, Class sizes of prime-power order p’-elements and normal subgroups, Annali di Matematica, (4) 194 (2015), no. 5, 1527–1533.
A Beltrán, MJ Felipe and CG Shao, p-divisibility of conjugacy class sizes and normal p-complements, J. Group Theory, 2015, 18(1):133–141.
Q.H. Jiang and C. G. Shao*, Recognition of L2(q) by its group order and largest irreducible character degree, Monatsh Math, 2015,176:413-422.
Q.H. Jiang, C.G. Shao*, Characterization of Some L2(q) by largest element orders, Mathematical Reports, 2015, 17(67),4:353-358.
Changguo Shao, Qinhui Jiang(*), An extension of a theorem of Alan Camina's on conjugacy class sizes, Israel Journal of Mathematics, 204:145-153, 2014.
Changguo Shao, Qinhui Jiang(*), On conjugacy class sizes of primary and biprimary elements of a finite group, Sci. China Math., 57(3), pp 491-498，2014.
C. G. Shao and Q. H Jiang(*), A new characterization of some linear groups by nse, J. Algebra Appl. 13(2), **, 2014.
Q.H. Jiang, C.G. Shao*, Solvability of finite groups with four class sizes of certain elements, Bulletin of the Australian Mathematical Society, 90，250-256，2014.
C.G. Shao and Q.H. Jiang(*), Finite groups whose set of numbers of subgroups of possible order has exactly 2 elements, Czechoslovak Mathematical Journal, 64(3):827-831, 2014.
C. G. Shao and Q.H. Jiang(*), A new characterization of PSL2(p) by NSE, J. Algebra Appl. 13(4), **, 2014.
Changguo Shao, Qinhui Jiang(*), Finite groups with two conjugacy class sizes of π-elements of primary and biprimary orders, Monatsh. Math., 169(1), pp 105-112, 2013.
Q.H. Jiang, C.G. Shao*, Conjugacy class sizes and solvability of finite groups, Proc. Indian Acad. Sci. (Math. Sci.), 123(2), pp. 239-244, 2013.
GuoPengfei, Ge Renfu, Shao Changguo*, Zhang Xiaohong, A complete classification of minimal non-MNP-groups, Comm. Algebra, 41(3), pp 1601-1607, 2013.
A Beltrán, MJ Felipe and CG Shao. Corrigendum on the solvability of groups with four class sizes, J Algebra Appl. 2012,11(6), **.
Q.H. Jiang, C.G. Shao, X. Y. Guo(*) and W. J. Shi, On Thompson’s Conjecture of A10, Comm. Algebra, 39(7), pp 2349-2353, 2011.
C. G. Shao and Q. H. Jiang(*) , A new characterization of A22 by its spectrum, Comm. Algebra, 38(6), pp 2138- 2141, 2010.
Q.H. Jiang and C.G. Shao*, Finite groups with 24 elements of maximal order, Front. Math. China., 5(4), pp 665-678, 2010.
R.L. Shen, C.G. Shao ,Q.H. Jiang, W.J. Shi(*) and V. Mazurov, A new characterization of A5, Monatsh.Math., 160, pp 337-341, 2010.
C. G. Shao*, S. Humphries, X. Z. You and J. S. Zhang (张金山), A note on conjugacy classes outside a normal subgroup, Comm. Algebra, 37, pp 3306-3308, 2009.
C. G. Shao* and Q. H. Jiang, Characterization of simple K4-groups, Front. Math. China, 3, pp 355-370, 2008.

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