On partial augmentations of elements in integral group rings

被引：0
|
作者：
Bovdi, Victor [1 ]
Maroti, Attila [2 ]
机构：
[1] UAEU, Dept Math Sci, Al Ain, U Arab Emirates
[2] Eotvos Lorand Res Network, Alfred Renyi Inst Math, POB 127, H-1364 Budapest, Hungary
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 08期
关键词：
Group ring; partial augmentation; unit; idempotent; TORSION UNITS; ZASSENHAUS CONJECTURE;
D O I：
10.1142/S0219498823501724
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Inner relations are derived between partial augmentations of certain elements (units or idempotents) in group rings.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] Torsion units in integral group rings of certain metabelian groups
    Hertweck, Martin
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2008, 51 : 363 - 385
  • [42] On central unit groups of integral group rings of alternating groups
    R. Zh. Aleev
    V. V. Sokolov
    Proceedings of the Steklov Institute of Mathematics, 2009, 267 : 1 - 9
  • [43] Abelianization and fixed point properties of units in integral group rings
    Bachle, Andreas
    Janssens, Geoffrey
    Jespers, Eric
    Kiefer, Ann
    Temmerman, Doryan
    MATHEMATISCHE NACHRICHTEN, 2023, 296 (01) : 8 - 56
  • [44] On Auslander–Reiten Components and Heller Lattices for Integral Group Rings
    Shigeto Kawata
    Algebras and Representation Theory, 2006, 9 : 513 - 524
  • [45] On groups of central units of integral group rings of alternating groups
    Aleev, R. Zh.
    Sokolov, V. V.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2009, 15 (02): : 3 - 11
  • [46] On Central Unit Groups of Integral Group Rings of Alternating Groups
    Aleev, R. Zh.
    Sokolov, V. V.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2009, 267 : S1 - S9
  • [47] CONSTRUCTION OF CENTRAL UNITS IN INTEGRAL GROUP RINGS OF FINITE GROUPS
    Jespers, Eric
    Parmenter, M. M.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 140 (01) : 99 - 107
  • [48] FROM THE POINCARE THEOREM TO GENERATORS OF THE UNIT GROUP OF INTEGRAL GROUP RINGS OF FINITE GROUPS
    Jespers, E.
    Juriaans, S. O.
    Kiefer, A.
    de A e Silva, A.
    Souza Filho, A. C.
    MATHEMATICS OF COMPUTATION, 2015, 84 (293) : 1489 - 1520
  • [49] Problems on Lie Properties of Skew and Symmetric Elements of Group Rings
    Lee, Gregory T.
    Sehgal, Sudarshan K.
    Spinelli, Ernesto
    LIE ALGEBRAS AND RELATED TOPICS, 2015, 652 : 231 - 233
  • [50] ORIENTED INVOLUTIONS AND SKEW-SYMMETRIC ELEMENTS IN GROUP RINGS
    Goodaire, Edgar G.
    Milies, Cesar Polcino
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2013, 12 (01)
12345