repthy
Class PSL

Object
  AbstractCollection
      AbstractSet
          ImmutableSet
              Group
                  HashGroup
                      PSL

All Implemented Interfaces:

Collection, Set

Direct Known Subclasses:

PSL3

public class PSL

extends HashGroup

The projective special linear group PSL(n, p) over the finite field of p elements.

As in MatrixModp, we require 2 ≤ p ≤ 127.

Author:

Mark McConnell

Field Summary

Fields inherited from class Group

charTable

Constructor Summary

PSL(int n, int p)
Constructs PSL(n, p).

Method Summary

boolean	isSimple() Whether this group is simple.
static void	main(String[] ignored) Prompts for n and p and pops up the character table of PSLn(p).

Methods inherited from class HashGroup

contains, getConjClass, getConjClassIndex, getConjClassNum, iterator, size

Methods inherited from class Group

cyclicSubgpsUpToConj, describeOrder8, elementarySubgps, fillInCharTable, getCenter, getCentralizer, getCharComparator, getCharTable, getCommutatorSubgroup, getCompositionSeries, getConjClassRep, getEltOrder, getEltOrder, getIdentity, getOrder, getProperNormalSubgroup, getSylow, isAbelian, isCentral, isSubgroupOf, order, power, printTest, tableTest

Methods inherited from class ImmutableSet

add, addAll, clear, remove, removeAll, retainAll

Methods inherited from class AbstractSet

equals, hashCode

Methods inherited from class AbstractCollection

containsAll, isEmpty, toArray, toArray, toString

Methods inherited from class Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface Set

containsAll, isEmpty, toArray, toArray

Constructor Detail

PSL

public PSL(int n,
           int p)

Constructs PSL(n, p).

Throws:

IllegalArgumentException - Unless n ≥ 1 and p is prime.

Method Detail

isSimple

public boolean isSimple()

Description copied from class: Group

Whether this group is simple.

Overrides:

isSimple in class Group

main

public static void main(String[] ignored)

Prompts for n and p and pops up the character table of PSLn(p).