On variations of m, n-simply presented abelian p-groups
On variations of m, n-simply presented abelian p-groups
摘要
We define a few new classes of p-primary abelian groups,and study their crucial properties,one of which is the so-called Nunke’s-esque property.They are also closely related to n-simply presented groups from Keef and Danchev(2012)and m,n-simply presented groups from Keef and Danchev(2013).
We define a few new classes of p-primary abelian groups,and study their crucial properties,one of which is the so-called Nunke’s-esque property.They are also closely related to n-simply presented groups from Keef and Danchev（2012）and m,n-simply presented groups from Keef and Danchev（2013）.
参考文献10
-
1Danchev P. A note on m, n-balanced projective abelian p-groups. J Algebra Number Theory Acad, 2013, 3: 203-207. 被引量：1
-
2Danchev P. On strongly and separably ω1-pω+n-projective abelian p-groups. Hacettepe J Math Stat, 2014, 43: 51-64. 被引量：1
-
3Danchev P. On m-ω1-pω+n-projective abelian p-groups. Demonstrat Math, 2015, in press. 被引量：1
-
4Danchev P, Keef P. An application of set theory to ω+ n-totally pω+n-projective primary abelian groups. Mediterr J Math, 2011, 8: 525-542. 被引量：1
-
5Fuchs L. Infinite Abelian Groups. New York-London: Academic Press, 1970, 1973. 被引量：1
-
6Griffith P. Infinite Abelian Group Theory. Chicago-London: The University of Chicago Press, 1970. 被引量：1
-
7Keef P. On ω1-pω+n-projective primary abelian groups. J Algebra Number Theory Acad, 2010, 1: 41-75. 被引量：1
-
8Keef P, Danchev P. On n-simply presented primary abelian groups. Houston J Math, 2012, 38: 1027-1050. 被引量：1
-
9Keef P, Danchev P. On properties of n-totally projective abelian p-groups. Ukrain Math J, 2012, 64: 766-771. 被引量：1
-
10Keef P, Danchev P. On m, n-balanced projective and m, n-totally pojective primary abelian groups. J Korean Math Soc, 2013, 50: 307-330. 被引量：1
-
1苏翃,赵振华,肖志祥,邱敦元.Orders of Automorphism Groups of Some p-Groups[J].Journal of Southwest Jiaotong University(English Edition),2008,16(2):199-204.
-
2张景哓.同构意义下p^2阶群的完全分类[J].德州学院学报,2008,24(2):15-17.
-
3邵建英.Fuzzy子群的讨论[J].嘉兴高等专科学校学报,2000,13(1):42-44.
-
4杨明增.一类有限群的结构[J].河南教育学院学报（自然科学版）,2002,11(2):1-2.
-
5赵耀庆,韦革,李世余.C_p-Groups and Some Results on the p-nilpotency[J].Chinese Quarterly Journal of Mathematics,1996,11(3):44-49.
-
6EPULIC Vladimir.On finite 2-groups all of whose subgroups are mutually isomorphic[J].Science China Mathematics,2009,52(2):254-260.
-
7Qin-hai ZHANG,Cui-juan SUN,Hai-peng QU,Ming-yao XU.Finite 2-generator equilibrated p-groups[J].Science China Mathematics,2007,50(6):814-820.
-
8BAN Gui-ning,ZHANG Xin-zheng.Two Important Classes of p-groups and the Orders of Their Automorphism Groups[J].Chinese Quarterly Journal of Mathematics,2008,23(4):491-493. 被引量：2
-
9南基洙,田子德.The K_2-groups over Finaite Commutative Rings[J].Northeastern Mathematical Journal,2002,18(2):99-102.
-
10Joseph KIRTL.On Two Classes of Finite Inseparable p-Groups[J].Acta Mathematica Sinica,English Series,2015,31(7):1203-1214. 被引量：2
