NielsenAutoSet Class Reference

Implements a set of Nielsen automorphisms of a free group. More...

#include <WhiteheadAutoSet.h>

Inheritance diagram for NielsenAutoSet:

List of all members.

Public Member Functions
	NielsenAutoSet (int n)
	Constructor. Generates a set of Nielsen automorphisms.
	~NielsenAutoSet ()
const Map &	getRandomAuto () const
	Returns a random Nielsen automorphism.
const SetOfMaps &	getSet () const
	Returns the set of Nielsen automorphisms.
Private Attributes
SetOfMaps	theSet
int	nGens

---

Detailed Description

Implements a set of Nielsen automorphisms of a free group.

Definition at line 54 of file WhiteheadAutoSet.h.

---

Constructor & Destructor Documentation

NielsenAutoSet::NielsenAutoSet

(

int

n

)

Constructor. Generates a set of Nielsen automorphisms.

The set of Nielsen automorphisms for a free group of rank n is generated.
Note, the whole set is generated by enumeration. automorphisms.

Parameters:

n

- rank of a free group.

NielsenAutoSet::~NielsenAutoSet

(

)

[inline]

Definition at line 74 of file WhiteheadAutoSet.h.

---

Member Function Documentation

const Map& NielsenAutoSet::getRandomAuto

(

)

const

Returns a random Nielsen automorphism.

Returns:

Nielsen automorphisms selected uniformly randomly form the set.

const SetOfMaps& NielsenAutoSet::getSet

(

)

const [inline, virtual]

Returns the set of Nielsen automorphisms.

Returns:

the set of Nielsen automorphisms.

Implements AutoSet.

Definition at line 93 of file WhiteheadAutoSet.h.

References theSet.

---

Member Data Documentation

SetOfMaps NielsenAutoSet::theSet [private]

Definition at line 95 of file WhiteheadAutoSet.h.

Referenced by getSet().

int NielsenAutoSet::nGens [private]

Definition at line 96 of file WhiteheadAutoSet.h.

---

The documentation for this class was generated from the following file:

• Maps/include/WhiteheadAutoSet.h