Locally Nilpotent Derivations on the Surface xy = p(z)

Proceedings of the Third International Algebra Conference ◽

10.1007/978-94-017-0337-6_9 ◽

2003 ◽

pp. 215-219 ◽

Cited By ~ 4

Author(s):

L. Makar-Limanov

Keyword(s):

Locally Nilpotent

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Locally nilpotent derivations of rings graded by an abelian group

Algebraic Varieties and Automorphism Groups ◽

10.2969/aspm/07510029 ◽

2019 ◽

Cited By ~ 4

Author(s):

Daniel Daigle ◽

Gene Freudenburg ◽

Lucy Moser-Jauslin

Keyword(s):

Abelian Group ◽

Locally Nilpotent

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Group Algebras with Locally Nilpotent Unit Groups

Communications in Algebra ◽

10.1080/00927872.2014.982817 ◽

2015 ◽

Vol 44 (2) ◽

pp. 604-612 ◽

Cited By ~ 6

Author(s):

M. Ramezan-Nassab

Keyword(s):

Group Algebras ◽

Locally Nilpotent

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Homogeneous Locally Nilpotent Derivations of Nonfactorial Trinomial Algebras

Mathematical Notes ◽

10.1134/s0001434619050201 ◽

2019 ◽

Vol 105 (5-6) ◽

pp. 818-830

Author(s):

Yu. I. Zaitseva

Keyword(s):

Locally Nilpotent

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Certain locally nilpotent varieties of groups

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700033578 ◽

2003 ◽

Vol 67 (1) ◽

pp. 115-119

Author(s):

Alireza Abdollahi

Keyword(s):

Prime Power ◽

Power Exponent ◽

Variety Of Groups ◽

Periodic Groups ◽

Locally Nilpotent

Let c ≥ 0, d ≥ 2 be integers and be the variety of groups in which every d-generator subgroup is nilpotent of class at most c. N.D. Gupta asked for what values of c and d is it true that is locally nilpotent? We prove that if c ≤ 2d + 2d−1 − 3 then the variety is locally nilpotent and we reduce the question of Gupta about the periodic groups in to the prime power exponent groups in this variety.

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Groups with every subgroup ascendant-by-finite

Open Mathematics ◽

10.2478/s11533-013-0312-y ◽

2013 ◽

Vol 11 (12) ◽

Author(s):

Sergio Camp-Mora

Keyword(s):

Finite Group ◽

Finite Index ◽

Locally Finite Group ◽

Locally Finite ◽

Locally Nilpotent

AbstractA subgroup H of a group G is called ascendant-by-finite in G if there exists a subgroup K of H such that K is ascendant in G and the index of K in H is finite. It is proved that a locally finite group with every subgroup ascendant-by-finite is locally nilpotent-by-finite. As a consequence, it is shown that the Gruenberg radical has finite index in the whole group.

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