Lie Solvable Group Rings
From MaRDI portal
Publication:5682117
DOI10.4153/CJM-1973-076-4zbMath0266.16011OpenAlexW2314080694WikidataQ115215431 ScholiaQ115215431MaRDI QIDQ5682117
Inder Bir Singh Passi, Sudarshan K. Sehgal, Donald S.Passman
Publication date: 1973
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-1973-076-4
Group rings (16S34) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Chains and lattices of subgroups, subnormal subgroups (20E15)
Related Items (68)
Group algebras whose p-elements form a subgroup ⋮ Group algebras and enveloping algebras with nonmatrix and semigroup identities ⋮ Identities in group rings, enveloping algebras and Poisson algebras ⋮ Derived lengths of symmetric Poisson algebras ⋮ Unnamed Item ⋮ A NOTE ON THE DERIVED LENGTH OF THE UNIT GROUP OF A MODULAR GROUP ALGEBRA ⋮ Group algebras and Lie nilpotence. ⋮ Strongly Lie solvable group algebras of derived length 4 ⋮ Lie nilpotency indices of modular group algebras II ⋮ Modular group algebras with almost maximal Lie nilpotency indices. ⋮ On the Lie nilpotency indices of modular group algebras ⋮ Group algebras of Lie nilpotency index 12 and 13 ⋮ Lie identities for Hopf algebras ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ Group algebras of periodic groups of a solvable multiplicative group ⋮ The tensor product of Lie soluble algebras ⋮ Star group identities on units of group algebras ⋮ Identities and derived lengths of finitary incidence algebras and their group of units ⋮ Bounded Engel and solvable unitary units in group rings ⋮ Lie solvable enveloping algebras of characteristic two ⋮ Lie derived length and involutions in group algebras. ⋮ Group rings with solvable unit groups of minimal derived length. ⋮ The Baer condition for group algebras ⋮ Lie centre-by-metabelian group algebras in even characteristic. I ⋮ Lie centre-by-metabelian group algebras in even characteristic. II ⋮ Lie dimension subgroups ⋮ Group algebras of torsion groups and Lie nilpotence ⋮ Engel condition on enveloping algebras of Lie superalgebras ⋮ New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings ⋮ GROUP ALGEBRAS WHICH ARE LIE SOLVABLE OF DERIVED LENGTH THREE ⋮ Residually Lie nilpotent group rings ⋮ Lie Properties of Symmetric Elements Under Oriented Involutions ⋮ Nilpotency Indices of Symmetric Elements of Group Algebras ⋮ The derived length of Lie soluble group rings. I ⋮ LIE SOLVABLE GROUP ALGEBRAS OF DERIVED LENGTH THREE IN CHARACTERISTIC THREE ⋮ Group rings ⋮ Lie structure of smash products ⋮ Lie properties of crossed products. ⋮ Associative rings ⋮ Lie *-Nilpotence of Group Rings ⋮ Nilpotency of group ring units symmetric with respect to an involution. ⋮ Lie centrally metabelian group rings ⋮ On the derived length of the unit group of a group algebra ⋮ On Lie nilpotent modular group algebras ⋮ Groups whose irreducible representations have degree at most 2. ⋮ Group algebras whose symmetric and skew elements are Lie solvable ⋮ The lien-engel property in group rings ⋮ Lie ideals in group rings ⋮ Group Algebras Satisfying a Certain Lie Identity ⋮ Lie Derived Lengths of Group Algebras of Groups with Cyclic Derived Subgroup ⋮ Lie properties of symmetric elements in group rings. II. ⋮ Lie properties of symmetric elements in group rings. ⋮ Group Rings Whose Symmetric Units are Solvable ⋮ Identities of Group Algebras ⋮ A note on Lie nilpotent group algebras ⋮ Group algebras of Lie nilpotency index 14 ⋮ Lie Nilpotency Indices of Modular Group Algebras ⋮ COMMUTATOR IDENTITIES ON SYMMETRIC ELEMENTS OF GROUP ALGEBRAS ⋮ Lie Solvable Rings ⋮ Group rings of circle and unit groups ⋮ Solvable symmetric Poisson algebras and their derived lengths ⋮ Lie algebra associated with linear group ⋮ A Lie Property in Group Rings ⋮ Lie centre-by-metabelian group algebras over commutative rings ⋮ Behaviour of the Frobenius map in a noncommutative world ⋮ On the lower Lie nilpotency index of a group algebra ⋮ Strongly Lie nilpotent group algebras of index at most 8 ⋮ The nilpotency class of the unit group of a modular group algebra. III
This page was built for publication: Lie Solvable Group Rings