A note on normal complement problem for split metacyclic groups

2019 ◽  
Vol 47 (9) ◽  
pp. 3842-3848
Author(s):  
Surinder Kaur ◽  
Manju Khan
Keyword(s):  
Normal Complement ◽  
Metacyclic Groups

Units in Integral Group Rings of Some Metacyclic Groups

1987 ◽  
Vol 30 (2) ◽  
pp. 231-240 ◽  
Author(s):  
P. J. Allen ◽  
C. Hobby
Keyword(s):  
Group Ring ◽  
Multiplicative Group ◽  
Group Rings ◽  
Integral Group ◽  
Normal Complement ◽  
Metacyclic Groups ◽  
Integral Group Rings ◽  
Explicit Characterization ◽  
Normalized Units

AbstractLet p be odd prime and suppose that G = 〈a, b〉 where ap-1 = bp = 1, a-1 ba = br, and r is a generator of the multiplicative group of integers mod p. An explicit characterization of the group of normalized units V of the group ring ZG is given in terms of a subgroup of GL(p - 1, Z). This characterization is used to exhibit a normal complement for G in V.

Golgi Apparatus and Melanogenesis: Ultrastructural Study of a Human Cellular Blue Nevus (Melanocytoma)

1973 ◽  
Vol 31 ◽  
pp. 380-381
Author(s):  
S.R. Allegra
Keyword(s):  
Endoplasmic Reticulum ◽  
Golgi Apparatus ◽  
Ultrastructural Study ◽  
The Other ◽  
Blue Nevus ◽  
Normal Complement ◽  
Golgi Vesicles ◽  
Golgi System ◽  
The Subject ◽  
Cellular Blue Nevus

The respective roles of the ribo somes, endoplasmic reticulum, Golgi apparatus and perhaps nucleus in the synthesis and maturation of melanosomes is still the subject of some controversy. While the early melanosomes (premelanosomes) have been frequently demonstrated to originate as Golgi vesicles, it is undeniable that these structures can be formed in cells in which Golgi system is not found. This report was prompted by the findings in an essentially amelanotic human cellular blue nevus (melanocytoma) of two distinct lines of melanocytes one of which was devoid of any trace of Golgi apparatus while the other had normal complement of this organelle.

OVARIAN SENSITIVITY TO OVULATORY STIMULI IN THE ANDROGEN-INDUCED PERSISTENT-OESTROUS RATS

1971 ◽  
Vol 66 (2) ◽  
pp. 266-272
Author(s):  
Anant P. Labhsetwar
Keyword(s):  
Testosterone Propionate ◽  
Ovarian Response ◽  
Minimal Amount ◽  
Normal Complement ◽  
Adult Rats ◽  
Induced Ovulation ◽  
Postnatal Treatment ◽  
Small Doses

ABSTRACT The ovarian response of adult rats made persistent-oestrus by the postnatal treatment with testosterone propionate was examined by determining the number of ova shed in response to small doses of LH and/or FSH, and placental gonadotrophins (PMSG or HCG). A dose of LH (10 μg/rat) estimated to be equivalent to twice the minimal amount secreted for ovulation in normal rats failed to release a normal complement of ova. The same dose of FSH induced ovulation in 40% of rats with an ova count of 5.7 ± 1.8/rat. Both placental gonadotrophins induced ovulation, although the ova yield was significantly below the normal oestrous control. It is inferred from these findings that the ovarian sensitivity of androgen-sterilized rats is far below that of the normal animals despite the presence of numerous follicles in the ovaries of the persistent-oestrous rats.

scholarly journals Strong duality for metacyclic groups

2002 ◽  
Vol 73 (3) ◽  
pp. 377-392 ◽  
Author(s):  
R. Quackenbush ◽  
C. S. Szabó
Keyword(s):  
Finite Group ◽  
Dihedral Group ◽  
Strong Duality ◽  
Sylow Subgroups ◽  
Metacyclic Groups ◽  
Group D

AbstractDavey and Quackenbush proved a strong duality for each dihedral group Dm with m odd. In this paper we extend this to a strong duality for each finite group with cyclic Sylow subgroups (such groups are known to be metacyclic).

scholarly journals Locally Primitive Normal Cayley Graphs of Metacyclic Groups

10.37236/185 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Jiangmin Pan
Keyword(s):  
Dihedral Group ◽  
Cayley Graphs ◽  
Complete Characterization ◽  
Metacyclic Group ◽  
Metacyclic Groups ◽  
Normal Cayley Graphs

A complete characterization of locally primitive normal Cayley graphs of metacyclic groups is given. Namely, let $\Gamma={\rm Cay}(G,S)$ be such a graph, where $G\cong{\Bbb Z}_m.{\Bbb Z}_n$ is a metacyclic group and $m=p_1^{r_1}p_2^{r_2}\cdots p_t^{r_t}$ such that $p_1 < p_2 < \dots < p_t$. It is proved that $G\cong D_{2m}$ is a dihedral group, and $val(\Gamma)=p$ is a prime such that $p|(p_1(p_1-1),p_2-1,\dots,p_t-1)$. Moreover, three types of graphs are constructed which exactly form the class of locally primitive normal Cayley graphs of metacyclic groups.

MEIOSIS IN 8-CHROMOSOME BARLEY HAPLOIDS

1977 ◽  
Vol 19 (2) ◽  
pp. 211-216 ◽  
Author(s):  
George Fedak
Keyword(s):  
Hordeum Vulgare ◽  
Extra Chromosome ◽  
Normal Chromosome ◽  
Short Chromosome ◽  
Hordeum Vulgare L ◽  
Normal Complement ◽  
Chromosome Synapsis ◽  
Haploid Plants

Meiosis was studied in four 8-chromosome haploid plants produced from Wiebe's barley (2n = 14 + 2 centric fragments) (Hordeum vulgare L.) in which the extra chromosome had lost its telomeres and was one-third the length of a normal chromosome. Although secondary associations occurred, pairing between the normal and fragmented chromosome was rare despite the presence of homologous segments between them, indicating that the deletion of the telomeres restricted chromosome synapsis. A high bivalent frequency was attributed to a translocation between a long and short chromosome of the normal complement that persisted through the haploidization process.

Finite metacyclic groups all extensions of which split

1978 ◽  
Vol 79 (3-4) ◽  
pp. 285-291 ◽  
Author(s):  
John S. Rose
Keyword(s):  
Metacyclic Groups

SynopsisThe groups of the title are characterized arithmetically.

Prenatal and postnatal requirements of NT-3 for sympathetic neuroblast survival and innervation of specific targets

Development ◽  
1996 ◽  
Vol 122 (2) ◽  
pp. 491-500 ◽  
Author(s):  
W.M. ElShamy ◽  
S. Linnarsson ◽  
K.F. Lee ◽  
R. Jaenisch ◽  
P. Ernfors
Keyword(s):  
Pineal Gland ◽  
Internal Carotid ◽  
Sympathetic Neurons ◽  
Sympathetic Innervation ◽  
Mutant Mice ◽  
Normal Complement ◽  
Normal Number ◽  
Neurotrophin 3 ◽  
Cervical Ganglion ◽  
Functional Copy

Postnatal homozygous neurotrophin-3 mutant mice display a loss of about half the sympathetic superior cervical ganglion (SCG) neurons (Ernfors, P., Lee, K.-F., Kucera, J. and Jaenisch, R. (1994a) Cell 77, 503–512; Farinas, I., Jones, K. R., Backus, C., Wang, X. Y. and Reichardt, L. F. (1994) Nature 369, 658–661). We found that this loss is caused by excessive apoptosis of sympathetic neuroblasts leading to a failure to generate a normal number of neurons during neurogenesis. NT-3 was also found to be required postnatally. In Nt-3−/− mice, sympathetic fibers failed to invade pineal gland and external ear postnatally; whereas other targets of the external and internal carotid nerves, including the submandibular gland and the iris, displayed a normal complement of sympathetic innervation. Sympathetic fibers of mice carrying one functional copy of the Nt-3 gene (Nt-3+/− mice) invaded the pineal gland, but failed to branch and form a ground plexus. Cultured neonatal sympathetic neurons responded to NT-3 by neurite outgrowth and mRNA upregulation of the NT-3 receptor, trkC. Exogenously administered NT-3 promoted sympathetic growth and rescued the sympathetic target deficit of the mutant mice. We conclude that NT-3 is required for the survival of sympathetic neuroblasts during neurogenesis and for sympathetic innervation and branching in specific targets after birth.

Response of aggregating chick corneal cells to modifiers of N-linked oligosaccharides, endoglycosidase H and deoxymannojirimycin

1988 ◽  
Vol 89 (3) ◽  
pp. 405-413
Author(s):  
J. Overton
Keyword(s):  
Fine Structure ◽  
Present Report ◽  
Single Cells ◽  
Cellular Responses ◽  
Complex Type ◽  
Normal Complement ◽  
Sds Page ◽  
Moderate Rate ◽  
High Mannose ◽  
Endoglycosidase H

Chick corneal epithelium takes on its mature conformation between 11 and 16 days of incubation. Earlier work has shown that desmosome frequency increases during this period, reaching its highest rate at 15 1/2 days. In the present report aggregation rates of cells from embryos of 11 days and those of 15 1/2 days are compared. Younger cells, which form fewer desmosomes, aggregate at a more moderate rate than older cells. In addition, younger cells bind less concanavalin A (ConA) than older cells. To determine if increase in ConA binding could be related to these cellular responses, aggregating cells were exposed to endoglycosidase H (EndoH) and to deoxymannojirimycin. This treatment should permit comparison of the response of cells that have a normal complement of N-linked oligosaccharides with those that have reduced high-mannose or complex type sugars. The effectiveness of EndoH under the conditions used was confirmed by failure of treated glycoprotein after separation by SDS-PAGE and electroblotting to bind ConA. Aggregation rates of both older and younger cells were unaffected, as measured by disapperance of single cells, though older cells formed somewhat smaller aggregates at the highest dosage used. Desmosome formation was markedly reduced in the presence of the enzyme, even in the absence of other changes in the fine structure. At the highest dose of the enzyme the fine structure of older but not younger cells showed indications of blockage of transport. Deoxymannojirimycin appears to cause a build-up of high-mannose groups, since treated cells showed increased incorporation of [3H]mannose.(ABSTRACT TRUNCATED AT 250 WORDS)

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