- In
group theory, a
metacyclic group is an
extension of a
cyclic group by a
cyclic group. That is, it is a
group G for
which there is a
short exact sequence...
- group).
Every finite subgroup of a
cyclically ordered group is cyclic. A
metacyclic group is a
group containing a
cyclic normal subgroup whose quotient is...
-
subgroups are
cyclic is
called a Z-group, and in
particular must be a
metacyclic group: this
means it is the
extension of two
cyclic groups. If a Frobenius...
- have no
special name,
other than
metacyclic groups, but that term is
often used more
generally today. See
metacyclic group for more on the general, modern...
- Leishmania. The
sandflies inject the
infective stage,
metacyclic promastigotes,
during blood meals.
Metacyclic promastigotes in the
puncture wound are phagocytized...
-
parasite p****ing its life
cycle in two
different hosts. In
humans the
metacyclic promastigotes are
injected by
sandfly through the skin
during its blood...
- solvable.
Every finitely generated nilpotent group is supersolvable.
Every metacyclic group is supersolvable. The
commutator subgroup of a
supersolvable group...
-
genus Trypanosoma in the
mammalian host
bloodstream as well as
infective metacyclic stages in the fly vector. In
trypomastigotes the
kinetoplast is near the...
- Prentice-Hall, New Jersey, 1961, pp. 120–167. MR0140099 Fox,
Ralph H. (1970). "
Metacyclic invariants of
knots and links".
Canadian Journal of Mathematics. 22 (2):...
-
While taking blood from a
mammalian host, an
infected tsetse fly
injects metacyclic trypomastigotes into skin tissue. From the bite,
parasites first enter...
