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15
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Determining a group given its quotient

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#group-theory #finite-groups
84
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Why isn't $(\mathbb Z_n, R_1)$ a counterexample to "equicontinuous homeomorphisms are not expansive"?

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#general-topology #finite-groups #dynamical-systems #examples-counterexamples
168
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Non-degeneracy of group pairing

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#group-theory #number-theory #finite-groups #abelian-groups
115
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Constructing the group $SL_2(GF(2)[x]/(x^3))$ in GAP

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#finite-groups #gap
301
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Understanding Burnside's theorem and using it to solve an elementary problem.

Published on
#combinatorics #finite-groups
94
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Subgroups of $SL(n,F)$ which contain $B\cap SL(n,F)$

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#group-theory #finite-groups #linear-groups
167
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Necessary and sufficient condition when two cycles in $S_{n}$ conjugate

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#abstract-algebra #group-theory #proof-verification #finite-groups #permutations
347
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Show that the orbits of the induced action of H on X all have the same size.

Published on
#group-theory #finite-groups #group-actions
109
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One J.G.Thompson's conjecture about conjugacy classes of finite simple groups.

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#finite-groups #permutations
226
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Bezout's identity for cyclic groups

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#group-theory #elementary-number-theory #finite-groups #abelian-groups
268
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Commutator in Nilpotent group of class 2 is "bilinear"

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#abstract-algebra #group-theory #finite-groups
294
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Prove that if $[2]$ is a generator for $\mathbb{Z_{9}^{\times}}$, then $[5]$ is as well.

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#abstract-algebra #group-theory #finite-groups #cyclic-groups
963
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Quaternion group

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#abstract-algebra #group-theory #finite-groups #quaternions
349
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Characters of semidirect and wreath products of non-Abelian finite groups

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#finite-groups #representation-theory #symmetric-groups #semidirect-product #wreath-product
130
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The structure theorem in the context of finite abelian groups.

Published on
#linear-algebra #finite-groups #abelian-groups #euclidean-domain

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