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pro vyhledávání: '"Hartung, Ren"'
Autor:
Hartung, Ren��, Traustason, Gunnar
Publikováno v:
International Journal of Group Theory, Vol 1, Iss 2, Pp 1-17 (2012)
We describe a new type of polycyclic presentations, that we will call refined solvable presentations, for polycyclic groups. These presentations are obtained by refining a series of normal subgroups with abelian sections. These presentations can be d
Autor:
Hartung, Ren, Parapuram, Sunil K., Ganti, Ramapriya, Hunt, D. Margaret, Chalam, Kakarla V., Hunt, Richard C.
Publikováno v:
Molecular Vision
Purpose When human retinal pigment epithelial (RPE) cells come in contact with vitreous, they undergo changes in gene expression that include inflammatory and anti-oxidant responses. The effects of vitreous on expression of heme oxygenase-1 (HO-1), m
Autor:
Hartung, Ren��
Self-similar groups provide a rich source of groups with interesting properties; e.g., infinite torsion groups (Burnside groups) and groups with an intermediate word growth. Various self-similar groups can be described by a recursive (possibly infini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bcc1bb102741f05f20cd164196d436e4
Autor:
Hartung, Ren��
In the first part of this note, we introduce Tietze transformations for $L$-presentations. These transformations enable us to generalize Tietze's theorem for finitely presented groups to invariantly finitely $L$-presented groups. Moreover, they allow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf25cc0d91a8db5053092144bcafb9b3
Autor:
Hartung, Ren��
We prove a variant of the well-known Reidemeister-Schreier theorem for finitely $L$-presented groups. More precisely, we prove that each finite index subgroup of a finitely $L$-presented group is itself finitely $L$-presented. Our proof is constructi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34f99857c63d17617e2abc0108f9eed4
Autor:
Hartung, Ren��
We discuss various methods and their effectiveness for solving linear equations over finitely generated abelian groups. More precisely, if $��\colon G\to H$ is a homomorphism of finitely generated abelian groups and $b\in H$, we discuss various a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ddef72d0f4b556202359e3efcd5a259
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