On Embeddings of the Free Group into the Group of Infinite Unitriangular Matrices
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-021-05198-5
Abstract: With the help of the ping-pong lemma it is proved that some 2-generated subgroups of the group of infinite unitriangular integer matrices are free. Some of these examples are similar to the celebrated examples by… read more here.
Keywords: group infinite; group group; free group; infinite unitriangular ... See more keywords
Products of test elements of free factors of a free group
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2016.11.009
Abstract: Abstract Let G be a group. An element g ∈ G is called a test element of G if for every endomorphism φ : G → G , φ ( g ) = g implies… read more here.
Keywords: test elements; free group; free factors; group ... See more keywords
Recognizing the second derived subgroup of free groups
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.09.024
Abstract: Abstract The commutator subgroup of a free group is the subgroup consisting of elements contained in the kernel of every homomorphism from the free group to the integers. We give a similar characterization of the… read more here.
Keywords: free group; second derived; recognizing second; subgroup free ... See more keywords
Stability properties of multiplicative representations of the free group
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7552
Abstract: We extend the construction of multiplicative representations for a free group G introduced by Kuhn and Steger (Isr. J., (144) 2004) in such a way that the new class Mult(G) so defined is stable under… read more here.
Keywords: representations free; free group; multiplicative representations; stability properties ... See more keywords
The effect of growth hormone addition protocols to poor ovarian responders in in vitro fertilization cycles.
Sign Up to like & getrecommendations! Published in 2022 at "European review for medical and pharmacological sciences"
DOI: 10.26355/eurrev_202208_29420
Abstract: OBJECTIVE In vitro fertilization failure (IVF) is high in women with poor ovarian response or non-responder. For this reason, the addition of adjuvant treatments to IVF protocols has come to the fore. We assessed to… read more here.
Keywords: poor ovarian; vitro fertilization; group; ovarian response ... See more keywords
Algebraic Morphology of DNA-RNA Transcription and Regulation
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15030770
Abstract: Transcription factors (TFs) and microRNAs (miRNAs) are co-actors in genome-scale decoding and regulatory networks, often targeting common genes. To discover the symmetries and invariants of the transcription and regulation at the scale of the genome,… read more here.
Keywords: transcription regulation; dna; transcription; group ... See more keywords