Zobrazeno 1 - 10 of 44 pro vyhledávání: '"J. R. J. Groves"'
1
L. G. KOVÁCS AND VARIETIES OF GROUPS
Autor: J. R. J. Groves
Publikováno v: Journal of the Australian Mathematical Society. 102:43-54
This is a short account of some of the work of L. G. (Laci) Kovács on varieties of groups.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bc8248625eb6831466e84856ad90f361
https://doi.org/10.1017/s1446788715000075
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2
Fitting quotients of finitely presented abelian-by-nilpotent groups
Autor: J. R. J. Groves, Ralph Strebel
Publikováno v: Journal of Group Theory. 17:1-12
We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal subgroup.
This second version takes into account the suggestions by the re
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83cad4c6c41472d61d3004be87f5c4ad
https://doi.org/10.1515/jgt-2013-0040
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4
Nilpotent-by-abelian Lie algebras of type FPm
Autor: J. R. J. Groves, Dessislava H. Kochloukova
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 148:429-437
Let L be a finitely generated Lie algebra which is a split extension of a free nilpotent Lie algebra N by a finite dimensional abelian Lie algebra. Let V denote the quotient of N by its commutator subalgebra; we can regard V as a module for L/N. We d
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0a60878ea3c89c5c0b269a713895b552
https://doi.org/10.1017/s0305004109990442
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7
Homological finiteness properties of Lie algebras
Autor: Dessislava H. Kochloukova, J. R. J. Groves
Publikováno v: Journal of Algebra. 279:840-849
We apply the main ideas behind the group theoretic methods developed in [P.H. Kropholler, Bull. London Math. Soc. 25 (1993) 558–566; J. Pure Appl. Math. 90 (1993) 55–67] to study Lie algebras of type FP ∞ . We show that every soluble Lie algebr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d1146de681f6806c9e708b3a1595896
https://doi.org/10.1016/j.jalgebra.2004.02.014
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9
Modules over infinite nilpotent groups
Autor: J. R. J. Groves
Publikováno v: Journal of the Australian Mathematical Society. 71:211-222
The paper discusses modules over free nilpotent groups and demonstrates that faithful modules are more restricted than might appear at first glance. Some discussion is also made of applying the techniques more generally.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ee5413271ebcef9784821f0fb873c118
https://doi.org/10.1017/s1446788700002858
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10
[Untitled]
Autor: J. R. J. Groves, Susan Hermiller
Publikováno v: Geometriae Dedicata. 88:239-254
We approach the question of which soluble groups are automatic. We describe a class of nilpotent-by-Abelian groups which need to be studied in order to answer this question. We show that the nilpotent-by-cyclic groups in this class have exponential i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::39bf2e02cbd52722182487214a5ae2ee
https://doi.org/10.1023/a:1013110821237
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