answersLogoWhite

0


Best Answer

The fundamental group of a closed orientable surface of genus g is the quotient of the free group on the 2g generators a1,...,ag,b1,...,bg by the normal subgroup generated by the following product of g commutators: a1b1a1-1b1-1...agbgag-1bg-1.

User Avatar

Wiki User

16y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the fundamental group of a genus g surface?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

Which algebraic expression represents the class was divided into six equal groups?

G = C/6 where C is the number in the class and G is the number in each group.


Why schuler frequency is 84 minutes?

Definition of the Schuler period is: T = 2 pi X sq rt of R/G where R = radius of earth surface or 6372 km G = Gravity acceleration at the earth's surface or 9.81 m/s ^2 T= 5064 s or 84.4 min


What are the 4 fundamental operation in functional notation?

1) You can add/subtract functions: f(x) +- g(x) = (f +- g)(x). 2) You can multiply/divide functions: f(x) */ g(x) = (f */ g)(x). 3) You can compose functions: f(x) . g(x) = (f(g(x))) = (f . g)(x). Let f(x) = 3x + 1 and g(x) = x2 Ex 1. (f + g)(x) = x2 + 3x + 1 Ex 2. (f * g)(x) = (3x + 1) * x2 = 3x3 + x2 Ex 3. (f(g(x))) = 3(x2) + 1 (Note that you replace all the x's in the function f(x) with the whole value of g(x).


Why the value of g varies from place to place?

The actual gravitational force at the surface of the Earth (about 9.81 m/sec/sec) will vary as the distance from the Earth's center varies, and also due to variations in the density of the rock layers under any given location. There are slight variations in the value of g about earth's surface. These variations result from the varying density of the geologic structures below each specific surface location


What is group in discrete mathematics?

A Group is a finite or infinite set of elements with a well defined law of composition defined on its members.A Group G must satisfy the following propeties:Closure: If a and b are any two members in G then there is unique element c = ab which is a member of G.Associative Law: If a b abd c are any three elements of G, then (ab)c = a(bc).Identity: There is an element, i, in G such that ai = ia = a for all a in G. i is called the identity for G.Inverse: For every element, a, in G, there is an element in G denoted by a-1 such that aa-1 = a-1a = i.Note that G need not be commutative ie ab need not be ba.

Related questions

What is a gorrilas scientific name?

Genus: GorillaSpecies: G. beringei - G. gorilla Subspecies: G. b. beringei - G. b. graueri Subspecies: G. g. diehli - G. g. gorilla


A non empty subset H of a group G is a subgroup of G if?

if and only if H is a group under the group operation of G.


What are animals that have the same domain kingdom phylum class order family and genus as the tiger shark?

The Genus of the tiger shark is Galeocerdo, and they are of the species G. cuvier. It is the only animal that is part of this genus.


In physics what letter is used to represent the fundamental constant that is equal to 9.80665 meters per second squared?

From the units, I can tell that it's the acceleration of gravity, usually represented as 'G'. But I've been using the value of 9.78 for gravitation near the surface on the equator. We should both go back and check it. By the way ... it's not a 'fundamental constant'. There's nothing fundamental about it, and it varies all over the place, even on a trip along the earth's surface, or on a hike up a mountain.


What plants of American genus are grown as showy flowering annuals -beginning with g?

godetias


For the world cup what group is Portugal in?

Portugal is in Group G. Group G : Brazil, north Korea, ivory coast, Portugal


What colorful flower owes its name to the German botanist Johann G. Zinn?

The genus, Zinnia.


Let G be a cyclic group of order 8 then how many of the elements of G are generators of this group?

Four of them.


What does the chord of c mean?

Means it's a chord were C is the fundamental note. The fundamental note, is the note from were the chord is constructed. So if it's a C major chord, it could be C E G or C E G B


Are g dragon and big bang the same people?

G-Dragon is one person, Big Bang is a group of 5. G-Dragon is in that group.


What has the author Sydney G Davison written?

Sydney G. Davison has written: 'Basic theory of surface states' -- subject(s): Surface (Physics) 'Progress in surface science'


What is Cayley's Theorem?

Cayley's Theorem states that every group G is isomorphic to a subgroup of the symmetric group on G.