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1
Berkovich, Yakov; Janko, Zvonimir: Groups of Prime Power Order
By induction, P / S21 (P) is generalized homocyclic. Therefore, (it :)u1 : u2 : : ue.
Let {1} < H 4 G be a p-subgroup. We claim that then H : S2,-(P) for some i. We
have $21 (P) 5 H since S21 (P) is a unique minimal normal p-subgroup of G. By ...
2
P-Automorphisms of Finite P-Groups
(e) The factor-group A/ B = (g1) G) - ~ - 69 (g,) is a direct sum of r cyclic pgroups
of orders Ig,-I = pk' Z pl“, since A/p'°A is a homomorphic image of A/ B. Hence Qk(
A/B) = (p'°"'°y1)éB-~-€B(P'°"'°yT) is a homocyclic group of exponent pk and rank ...
3
Almost Completely Decomposable Groups
Further xVX, = rkX(a) - n = rk X'a and rkXT = rkA'(r) - n = rkX'T and hence Xa *X'a,
XT<*X'T. □ 12.4. Homocyclic ... Dugas and Oxford classified up to near-
isomorphism rigid almost completely decomposable groups with "homocyclic"
regulator ...
4
Inorganic Rings and Polymers of the P-block Elements: From ...
6.1 HOMOCYCLIC SYSTEMS This section begins with an account of large
homocyclic systems, i.e. those in which only one p-block element is present.
These rings are exclusively saturated systems, i.e. they involve single bonds
between the ...
Tristram Chivers, Ian Manners, Royal Society of Chemistry (Great Britain), 2009
5
Conjugated Polymer Synthesis: Methods and Reactions
With this background, we have developed the radical polymerization of
homocyclic compounds of Group 15 elements with acetylenic compounds to
produce poly(vinylene-arsine, -phosphine, and -stibine)s (Scheme 9.1). H R l? R
R1 I R2 I ...
6
The Theory of Fusion Systems: An Algebraic Approach
Definition 5.78 A finite group G is homocyclic if G is isomorphic to the direct
product of cyclic groups, each of the same order. Suppose that Q is abelian; as P
has 2-rank 2, Q has two generators and possesses an odd-order automorphism,
and ...
7
Microbial Enhancement of Oil Recovery - Recent Advances
Anaerobically, the use of molecular oxygen as a reactant is prohibited; and yet, if
the transformation of nonoxygenated homocyclic aromatic hydrocarbons under
anaerobic conditions were initially reductive as is the case with oxygenated ...
Then n, = n by definition of the exponent and n,,, < n as P is not homocyclic. Let r
be the largest integer such that n, = n. Also set y,~ = x,P""', 1 < i < m. It is
immediate that {y,|l < i < r} is a basis of X=U"“(P), while {yi ll < i < m} is a basis of
Q1(P).
9
Groups '93 Galway/St Andrews:
CI Now we prove a result in the opposite direction: Each Fitting class that
contains a non-direct extension of a homocyclic p-group by a q-group, contains
also the group Gq. Lemma 3.3. Let oz be any nontrivial automorphism of X, , let
the order ...
10
Catalytic Hydroprocessing of Petroleum and Distillates
Homocyclic Aroma tics WT. % 44 FIG. 7 Temperature effects on the reduction of
total homocyclic aromatics. " — " for catalyst D (A); " " for FeHo (A,) . The data for
the FeMo catalyst suggest that the maximum increase in homocyclic aromatics ...
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «HOMOCYCLIC»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
homocyclic w wiadomościach.
H2-INDUSTRIES and the Leibnitz-Institute for Catalysis Joined …
The contract covers the exclusive cooperation in the field of heterogeneous catalysis for hydrogenation and dehydrogenation of homocyclic ... «PR Web, Paz 14»