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15
Math.TechQA.Club
2026-04-13 00:29:44
158
Views
Union of conjugacy classes of a subgroup
Published on
13 Apr 2026 - 0:29
#group-theory
#finite-groups
#sylow-theory
598
Views
If $H$ and $K$ are cyclic subgroup of $G$ then $HK$ is subgroup of $G$?
Published on
11 Apr 2026 - 13:12
#group-theory
#finite-groups
#abelian-groups
#cyclic-groups
1k
Views
Let $G$ be a group and let $H \subseteq G$ be a finite subset that satisfies properties (H0) and (H1). Prove that $H$ is a subgroup of $G$.
Published on
14 Apr 2026 - 23:40
#abstract-algebra
#group-theory
#finite-groups
240
Views
Finite simple group has order a multiple of 3?
Published on
12 Apr 2026 - 22:40
#abstract-algebra
#reference-request
#finite-groups
#simple-groups
#groups-of-lie-type
97
Views
Why does $G$ finite abelian group with $i_G$ involutions have no subgroups isomorphic to $K_4$ if $6\nmid i_G(i_G-1)$?
Published on
15 Apr 2026 - 9:06
#group-theory
#finite-groups
#abelian-groups
1.1k
Views
Let $G$ be a group with $33$ elements acting on a set with $38$ elements. Prove that the stabilizer of some element $x$ in $X$ is all of $G$.
Published on
16 Apr 2026 - 10:10
#abstract-algebra
#group-theory
#finite-groups
#group-actions
95
Views
How to prove the determinate of the cartan matrix of a group ring is positive?
Published on
12 Apr 2026 - 11:33
#linear-algebra
#finite-groups
#determinant
1.3k
Views
$(\mathbb Z_4 \oplus \mathbb Z_{12})/\langle(2,2) \rangle $ is isomorphic to which group?
Published on
26 Mar 2026 - 19:17
#abstract-algebra
#group-theory
#finite-groups
#abelian-groups
#quotient-group
107
Views
How to calculate the Fourier Transform of a constant function on the symmetric group?
Published on
25 Mar 2026 - 19:05
#group-theory
#finite-groups
#representation-theory
#symmetric-groups
#unitary-matrices
77
Views
Index of intersection of two subgroups
Published on
16 Apr 2026 - 19:35
#abstract-algebra
#group-theory
#finite-groups
99
Views
Question on finding group isomorphic to $\frac{G}{Z(G)}$
Published on
26 Mar 2026 - 12:40
#group-theory
#finite-groups
#group-presentation
#quotient-group
951
Views
Let $G$ be a group of order $2n$, $n$ odd. Prove that there is a unique subgroup $H$ of $G$ of order $n$.
Published on
15 Apr 2026 - 15:18
#abstract-algebra
#group-theory
#finite-groups
204
Views
Let $S=\{a,b\}$. Which binary operation $*$ on $\wp(S)$ makes $(\wp(S),*)$ a cyclic group?
Published on
14 Apr 2026 - 19:50
#abstract-algebra
#group-theory
#elementary-set-theory
#finite-groups
#boolean-algebra
80
Views
Automorphisms acting on Symmetric Groups
Published on
29 Mar 2026 - 18:30
#group-theory
#permutations
#finite-groups
#automorphism-group
74
Views
Finding the centralizer of each element of $Q_{4n}$
Published on
14 Apr 2026 - 18:07
#abstract-algebra
#group-theory
#finite-groups
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