List questions from simple-groups

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Why was the classification of finite simple groups so hard to prove?

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Why is the Fischer group $Fi_{24}'$ called $Fi_{24}'$ instead of $Fi_{24}$?

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What is the quotient group $G/R(G)$?

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Is this "coincidence" about representations of the Monster actually a coincidence?

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What are the finite simple groups without a (B, N) pair?

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Question in Dummit and Foote's proof for all simple groups of order $60$ is isomorphic to $A_5$.

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Sylow-$2$ Subgroups of a simple group of order 168

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Which finite simple groups have trivial Schur multiplier?

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Let $G$ be a group of order $385$. Prove that $G$ is not simple.

Published on 14 Nov 2022 - 21:10

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Does the class of groups with all non-abelian composition factors contain some rich subclass?

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Character Tables for large quasisimple groups

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Isaacs Character Theory - exercise 4.11

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Show that $SL_2(\Bbb{F}_4)\cong A_5$.

Published on 02 Dec 2022 - 3:16

100

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When does $G$ act primitively on itself by left multiplication?

Published on 01 Jan 2023 - 16:22

List Question

What is a simple (not many relators) presentation of the Monster group?

Why was the classification of finite simple groups so hard to prove?

Why is the Fischer group $Fi_{24}'$ called $Fi_{24}'$ instead of $Fi_{24}$?

What is the quotient group $G/R(G)$?

Is this "coincidence" about representations of the Monster actually a coincidence?

What are the finite simple groups without a (B, N) pair?

Question in Dummit and Foote's proof for all simple groups of order $60$ is isomorphic to $A_5$.

Sylow-$2$ Subgroups of a simple group of order 168

Which finite simple groups have trivial Schur multiplier?

Let $G$ be a group of order $385$. Prove that $G$ is not simple.

Does the class of groups with all non-abelian composition factors contain some rich subclass?

Character Tables for large quasisimple groups

Isaacs Character Theory - exercise 4.11

Show that $SL_2(\Bbb{F}_4)\cong A_5$.

When does $G$ act primitively on itself by left multiplication?

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