I am following a previous post on stackoverflow about removing duplicates from a List<T> in C#.
If <T> is some user defined type like:
class Contact
{
    public string firstname;
    public string lastname;
    public string phonenum;
}
The suggested (HashMap) doesn't remove duplicate. I think, I have to redefine some method for comparing two objects, isn't it?
A HashSet<T> does remove duplicates, because it's a set... but only when your type defines equality appropriately.
I suspect by "duplicate" you mean "an object with equal field values to another object" - you need to override Equals/GetHashCode for that to work, and/or implement IEquatable<Contact>... or you could provide an IEqualityComparer<Contact> to the HashSet<T> constructor.
Instead of using a HashSet<T> you could just call the Distinct LINQ extension method. For example:
list = list.Distinct().ToList();
But again, you'll need to provide an appropriate definition of equality, somehow or other.
Here's a sample implementation. Note how I've made it immutable (equality is odd with mutable types, because two objects can be equal one minute and non-equal the next) and made the fields private, with public properties. Finally, I've sealed the class - immutable types should generally be sealed, and it makes equality easier to talk about.
using System;
using System.Collections.Generic; 
public sealed class Contact : IEquatable<Contact>
{
    private readonly string firstName;
    public string FirstName { get { return firstName; } }
    private readonly string lastName;
    public string LastName { get { return lastName; } }
    private readonly string phoneNumber;
    public string PhoneNumber { get { return phoneNumber; } }
    public Contact(string firstName, string lastName, string phoneNumber)
    {
        this.firstName = firstName;
        this.lastName = lastName;
        this.phoneNumber = phoneNumber;
    }
    public override bool Equals(object other)
    {
        return Equals(other as Contact);
    }
    public bool Equals(Contact other)
    {
        if (object.ReferenceEquals(other, null))
        {
            return false;
        }
        if (object.ReferenceEquals(other, this))
        {
            return true;
        }
        return FirstName == other.FirstName &&
               LastName == other.LastName &&
               PhoneNumber == other.PhoneNumber;
    }
    public override int GetHashCode()
    {
        // Note: *not* StringComparer; EqualityComparer<T>
        // copes with null; StringComparer doesn't.
        var comparer = EqualityComparer<string>.Default;
        // Unchecked to allow overflow, which is fine
        unchecked
        {
            int hash = 17;
            hash = hash * 31 + comparer.GetHashCode(FirstName);
            hash = hash * 31 + comparer.GetHashCode(LastName);
            hash = hash * 31 + comparer.GetHashCode(PhoneNumber);
            return hash;
        }
    }
}
EDIT: Okay, in response to requests for an explanation of the GetHashCode() implementation:
EqualityComparer<T>.Default always handles this, which is nice... so I'm using that to get a hash code of each field.Two alternative ways of handling nullity, by the way:
public override int GetHashCode()
{
    // Unchecked to allow overflow, which is fine
    unchecked
    {
        int hash = 17;
        hash = hash * 31 + (FirstName ?? "").GetHashCode();
        hash = hash * 31 + (LastName ?? "").GetHashCode();
        hash = hash * 31 + (PhoneNumber ?? "").GetHashCode();
        return hash;
    }
}
or
public override int GetHashCode()
{
    // Unchecked to allow overflow, which is fine
    unchecked
    {
        int hash = 17;
        hash = hash * 31 + (FirstName == null ? 0 : FirstName.GetHashCode());
        hash = hash * 31 + (LastName == null ? 0 : LastName.GetHashCode());
        hash = hash * 31 + (PhoneNumber == null ? 0 : PhoneNumber.GetHashCode());
        return hash;
    }
}
                        class Contact {
    public int Id { get; set; }
    public string Name { get; set; }
    public override string ToString()
    {
        return string.Format("{0}:{1}", Id, Name);
    }
    static private IEqualityComparer<Contact> comparer;
    static public IEqualityComparer<Contact> Comparer {
        get { return comparer ?? (comparer = new EqualityComparer()); }
    }
    class EqualityComparer : IEqualityComparer<Contact> {
        bool IEqualityComparer<Contact>.Equals(Contact x, Contact y)
        {
            if (x == y) 
                return true;
            if (x == null || y == null)
                return false;
            return x.Name == y.Name; // let's compare by Name
        }
        int IEqualityComparer<Contact>.GetHashCode(Contact c)
        {
            return c.Name.GetHashCode(); // let's compare by Name
        }
    }
}
class Program {
    public static void Main()
    {
        var list = new List<Contact> {
            new Contact { Id = 1, Name = "John" },
            new Contact { Id = 2, Name = "Sylvia" },
            new Contact { Id = 3, Name = "John" }
        };
        var distinctNames = list.Distinct(Contact.Comparer).ToList();
        foreach (var contact in distinctNames)
            Console.WriteLine(contact);
    }
}
gives
1:John
2:Sylvia
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