# Dictionary Definition

virtually adv

1 (intensifier before a figurative expression)
without exaggeration; "our eyes were literally pinned to TV during
the Gulf war" [syn: literally]

2 in essence or effect but not in fact; "the
strike virtually paralyzed the city"; "I'm virtually broke"

3 (of actions or states) slightly short of or not
quite accomplished; `near' is sometimes used informally for
`nearly' and `most' is sometimes used informally for `almost'; "the
job is (just) about done"; "the baby was almost asleep when the
alarm sounded"; "we're almost finished"; "the car all but ran her
down"; "he nearly fainted"; "talked for nigh onto 2 hours"; "the
recording is well-nigh perfect"; "virtually all the parties signed
the contract"; "I was near exhausted by the run"; "most everyone
agrees" [syn: about,
just
about, almost,
most, all but, nearly, near, nigh, well-nigh]

# User Contributed Dictionary

## English

### Pronunciation

### Adverb

virtually- practically; almost but not quite
- Without exaggeration; literally
- In essence, but not in fact

#### Translations

practically

- French: pratiquement
- Finnish: käytännössä, käytännöllisesti katsoen, lähes

literally

in essence, but not in fact

- Finnish: käytännössä, käytännöllisesti katsoen

# Extensive Definition

Given a property P, the group G is said to be
virtually P if there is a finite index subgroup H such that H has
property P.

This terminology is also used when P is just
another group. That is, if G and H are groups then G is virtually H
if it has a subgroup K such that K is isomorphic to H.

A consequence of this is that finite group theory
is virtually trivial.

## Examples <33

### Virtually Abelian

The following groups are virtually abelian.- Any abelian group
- The semidirect product G\rtimes A where G is finite and A is abelian.
- A finite group G (since the trivial subgroup is abelian).

### Virtually nilpotent

- Any group that is virtually abelian
- Any nilpotent group
- The semidirect product G\rtimes A where G is finite and A is abelian.

### Virtually free

- Any free group
- The semidirect product G\rtimes A where G is finite and A is free.

### Others

The free group Fn on n generators is virtually F2 for any n ≥ 2.## References

- ">http://jlms.oxfordjournals.org/cgi/content/long/s2-44/1/75}}

# Synonyms, Antonyms and Related Words

absolutely, actually, all in all, almost, almost entirely, approximately, as good as,
basically, by and
large, chiefly, effectively, effectually, essentially, fundamentally, in effect,
in essence, in substance, in the main, latently, mainly, morally, more or less, mostly, nearly, on balance, on the whole,
potentially,
practically,
substantially,
underlyingly