Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Inder Bir S. Passi"'
Autor:
Roman Mikhailov, Inder Bir S. Passi
Publikováno v:
Journal of Algebra. 526:243-265
This paper is about application of various homological methods to classical problems in the theory of group rings. It is shown that the third homology of groups plays a key role in Narain Gupta's three normal subgroup problem. For a free group F and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea4153d024d27c3738ae419153d7af22
https://doi.org/10.1016/j.jalgebra.2019.02.007
https://doi.org/10.1016/j.jalgebra.2019.02.007
The augmentation powers in an integral group ring $\mathbb ZG$ induce a natural filtration of the unit group of $\mathbb ZG$ analogous to the filtration of the group $G$ given by its dimension series $\{D_n(G)\}_{n\ge 1}$. The purpose of the present
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e50f345c76f09b2cfad51d9590e66d8
Publikováno v:
Communications in Algebra. 47:969-977
The object of this paper is to study (infinite) groups whose integral group rings have only trivial central units. This property is closely related to a property, here called the RS-property (see R...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bbce9d1cb91ba38f6d73708142c94ee
https://doi.org/10.1080/00927872.2018.1498876
https://doi.org/10.1080/00927872.2018.1498876
Publikováno v:
Journal of Pure and Applied Algebra. 221:1955-1965
The object of study in this paper is the finite groups whose integral group rings have only trivial central units. Prime-power groups and metacyclic groups with this property are characterized. Metacyclic groups are also classified according to the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b83fd2c6844c970d153b21e45936888a
https://doi.org/10.1016/j.jpaa.2016.10.017
https://doi.org/10.1016/j.jpaa.2016.10.017
Autor:
Inder Bir S. Passi, Thomas Sicking
Publikováno v:
International Journal of Algebra and Computation. 27:251-258
For a Lie ring [Formula: see text] over the ring of integers, we compare its lower central series [Formula: see text] and its dimension series [Formula: see text] defined by setting [Formula: see text], where [Formula: see text] is the augmentation i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b401617b0917fe0435c23af3d4209e3
https://doi.org/10.1142/s0218196717500114
https://doi.org/10.1142/s0218196717500114
Autor:
Roman Mikhailov, Inder Bir S. Passi
Publikováno v:
Journal of Pure and Applied Algebra. 220:2143-2163
Every two-sided ideal a in the integral group ring Z [ G ] of a group G determines a normal subgroup G ∩ ( 1 + a ) of G. In this paper certain problems related to the identification of such subgroups, and their relationship with derived functors in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7324f948d39a29e5c929ed21bc62c85
https://doi.org/10.1016/j.jpaa.2015.10.020
https://doi.org/10.1016/j.jpaa.2015.10.020
Autor:
Inder Bir S. Passi, Roman Mikhailov
Publikováno v:
Journal of Algebra. 449:400-407
For normal subgroups R and S of a free group F, an identification of the subgroup F ∩ ( 1 + r f s ) is derived, and it is shown that the quotient F ∩ ( 1 + r f s ) [ R ′ ∩ S ′ , R ∩ S ] [ R ′ ∩ S , R ′ ∩ S ] [ R ∩ S ′ , R ∩
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a7d67956fdd91f88d002975c3b68ef9
https://doi.org/10.1016/j.jalgebra.2015.11.010
https://doi.org/10.1016/j.jalgebra.2015.11.010
Publikováno v:
Springer Monographs in Mathematics ISBN: 9789811328947
This chapter is a collection of some basic results in the theory of p-groups. Beginning with central series of groups, we investigate regular p-groups and present some numerical results on p-groups with large centers. We then present a generalization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef23e8961513469b28cad9ecf26de05e
https://doi.org/10.1007/978-981-13-2895-4_1
https://doi.org/10.1007/978-981-13-2895-4_1
Publikováno v:
Springer Monographs in Mathematics ISBN: 9789811328947
Every finite non-cyclic abelian p-group of order greater than \(p^2\) has the property that its order divides that of its group of automorphisms (Theorem 3.34). The problem whether every non-abelian p-group of order greater than \(p^2\) possesses the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54bb2c7fe4e0376713b3f182255b2305
https://doi.org/10.1007/978-981-13-2895-4_4
https://doi.org/10.1007/978-981-13-2895-4_4
Publikováno v:
Springer Monographs in Mathematics ISBN: 9789811328947
Springer Monographs in Mathematics
Springer Monographs in Mathematics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7206be99c3ae214dbd54bf2cc78f09ab
https://doi.org/10.1007/978-981-13-2895-4
https://doi.org/10.1007/978-981-13-2895-4