- {\displaystyle S} . ****uming the law of
excluded middle,
characteristic functions surject onto powersets, and then | 2 S | = | P ( S ) | {\displaystyle |2^{S}|=|{\mathcal...
-
abelian group, and is the
largest elementary abelian p-group onto
which G
surjects. Ap(G) is the
intersection of all
normal subgroups K such that G/K is an...
- ∈ I {\displaystyle \{g_{i}\}_{i\in I}} , the free
group generated by F
surjects onto the
group G. The
kernel of this map is
called the
subgroup of relations...
- spin
comes from SO(3) = RP3 = S3 / (Z / 2Z). π2(O) = π2(SO(3)) = 0,
which surjects onto π2(SO(4)); this
latter thus vanishes. From
general facts about Lie...
- {\displaystyle A_{m}} (for
example Γ ( 2 ) {\displaystyle \Gamma (2)}
surjects on any
group with two generators, in
particular on all
alternating groups...
- Y {\displaystyle X\leq ^{*}Y} the
proposition that Y {\displaystyle Y}
surjects onto X {\displaystyle X} . The
strategy of the
proof is to
couple a given...
- 3-manifold of
finite volume has a
finite cover whose fundamental group surjects onto a non-abelian free
group (such
groups are
usually called large). Another...
- ) {\displaystyle \mathrm {SL} _{2}(\mathbb {Z} )} has
subgroups which surject onto the
alternating group A n {\displaystyle A_{n}} for
arbitrary n ,...
- {\text{Im}}H_{2}(\lambda ,\mu ))\end{aligned}}} It
turns out this
group surjects onto N S ( X ) {\displaystyle NS(X)} and has
kernel Hom ( Λ , U ( 1 ) )...
-
abelian group, and is the
largest elementary abelian p-group onto
which G
surjects. Ap(G) (notation from (Isaacs 2008, 5D, p. 164)) is the
intersection of...
