数学与计算机科学 |
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有限群共轭类长度的一点注记 |
徐向阳1, 李样明2 |
1.南昌师范学院 数学与计算机科学系,江西 南昌 330032 2.广东第二师范学院 数学系,广东 广州 510310 |
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A note on the length of conjugacy classes of finite group |
XU Xiangyang1, LI Yangming2 |
1.Department of Mathmetics and Computer Science, Nanchang Normal University, Nanchang 330032, China 2.Department of Mathmetics,Guangdong University of Education, Guangzhou 510310, China |
1 BALLESTER-BOLINCHESA,ESTEBAN-ROMEROR,ASAADM.Products of Finite Groups[M].Berlin/NewYork: Walter de Gruyter,2010. 2 CHILLAGD,HERZOGM.On the length of the conjugacy classes of finite groups[J].J Algebra,1990,131(1): 110-125. DOI:10.1016/0021-8693(90)90168-n 3 COSSEYJ,WANGY M.Remarks on the length of conjugacy classes of finite groups[J].Comm Algebra,1999,27(9):4347-4353. DOI:10.1080/0092787990882 6701 4 LIUX L,WANGY M,WEIH Q.Notes on the length of conjugacy classes of finite groups[J].J Pure Appl Algebra,2005,196(1):111-117. DOI:10.1016/j.jpaa. 2004.08.020 5 QIANG H,WANGY M.On conjugacy class sizes and character degrees of finite groups[J].J Algebra Appl,2014,13(2): 1-8. DOI:10.1142/S0219498813501004 6 BALLESTER-BOLINCHESA,COSSEYJ,LIY M.Mutually permutable products and conjugacy classes[J].Monatsh Math,2013,170:305-310. DOI:10.1007/s00605-012-0411-z 7 FELIPEM J,MARTNEZ-PASTORA,ORTIZ-SOTOMAYORV M.Square-free class sizes in products of groups [J].J Algebra,2017,491:190-206. DOI:10.1016/j.jalgebra.2017.08.007 8 DOERKK,HAWKET.Finite Soluble Groups[M].Berlin/NewYork:Walter de Gruyter,1992. DOI:10.1515/9783110870138 |
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