There are a variety and many factions of anarchism.
It is a mistake to claim all anarchists are the same.
All of them believe in decentralization and zero government but disagree on the means of achieving that where there is all sorts of beliefs that seperate them too.
One of the biggest differences are those anarchists that prefer all out violent methods of achieving their goals versus the pacifists who believe nonviolence is the method of attaining a existence of ‘peaceful’ anarchy. It is one of the greatest disagreements between anarchists themselves.
From my own study there are six very different factions of anarchism.
I shall try to outline them here briefly.
The individualist anarchists- These anarchists are followers of Max Stirner also known as Johann Kaspur Schmidt. They are the oldest school of anarchist thought since Max Stirner was one of the first anarchist thinkers recorded atleast in Europe.
His American equivalent was the anarchist writer James L. Walker who’s name I take here on ILP.
Individualist anarchists believe in the power of the individual and maintain that individual sovereignty to be the foundation of anarchy.
What is unique about individualist anarchists is that they seek to understand selfishness, egoism, and competition instead of trying to wish it away.
I think it is because individual anarchism tries to understand the general destructive tendencies of human beings.
I myself am a individualist anarchist.
The anarchist collectivists- This version of anarchism includes all the anarchist socialists, communists, marxists, and syndicalists. Thinkers like Marx, Engels, Trotsky, Bakunin, Noam Chomsky, Zizek, and Proudhon dominate this version of anarchism.
For the anarchist collectivist the individual must succumb or be sacrificed for the majority collective. This has cause some animosity between the individualist anarchists versus the collectivists.
The reason communisn is popular with this faction is because collectivized communes are the goal.
This faction of anarchism is all about egalitarianism even if it means forcing people to be equal. In contrast individualist anarchists accept inequality as just natural phenomena which further causes seperation between the individualists and collectivists.
Religious anarchists- This version of anarchism centers around religion.
It is led by thinkers such as Leo Tolstoy or Kropotkin.
This version of anarchism prides itself on religious devotion.
Green anarchists- These anarchists pride themselves on ecological and environmental preservation where they view the state to be in direct opposition to.
Unlike anarcho primitivists who reject the virtues of technology green anarchists view technology as a means to their environmental goals.
Anarcho primitivists/ anarchist primitivists- This faction believes in the absolute rejection of technology and modern industrial society for the decentralized living of humanity’s ancient past.
They view technological and modern industrial society as tools of the state needing to be resisted. Thinkers that support this version of anarchism are John Zerzan, Jared Diamond, and many noticeable others.
While I would not call myself a full fledged anarcho primitivist I certainly can sympathize with many of their perspectives as a individualist anarchist.
Anarcho Capitalists- This version of anarchists views all forms of government as a hindrance to the free market and capitalism.
For them anarchism is the goal for fully functional capitalism.
Thinkers that support this would be Murray Rothbard.