Newbetuts
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New posts in finite-groups
Is it true, that for any two non-isomorphic finite groups $G$ and $H$ there exists such a group word $w$, that $|V_w(G)| \neq |V_w(H)|$?
abstract-algebra
group-theory
finite-groups
universal-algebra
verbal-subgroups
Which finite groups have their minimal permutation degree equal to their order?
group-theory
permutations
finite-groups
symmetric-groups
quaternions
Explanation why an abelian tower admits a cyclic refinement
abstract-algebra
group-theory
finite-groups
abelian-groups
cyclic-groups
Finding the order of the automorphism group of the abelian group of order 8.
linear-algebra
abstract-algebra
group-theory
finite-groups
abelian-groups
Subgroups of $S_n$ of index $n$ are isomorphic to $ S_{n-1}$
group-theory
finite-groups
symmetric-groups
Are the Groups having all subgroups of same order conjugate classified?
abstract-algebra
group-theory
finite-groups
The number of $p$-subgroups of a group
group-theory
finite-groups
$S_3$ acting on a subgroup -- confirming my computation is correct
group-theory
finite-groups
group-actions
symmetric-groups
Which $p$-groups can be Sylow p-subgroups with trivial intersection?
group-theory
finite-groups
p-groups
The smallest group with 3 generators
group-theory
finite-groups
Determine all homomorphic images of $D_4$ up to isomorphism.
abstract-algebra
group-theory
finite-groups
definition
How many homomorphism from $S_3$ to $S_4$?
abstract-algebra
group-theory
finite-groups
group-homomorphism
Determining all Sylow $p$-subgroups of $S_n$ up to isomorphism?
abstract-algebra
group-theory
finite-groups
Group homomorphisms and which of the following statements are true (NBHM-$2014$)
abstract-algebra
group-theory
finite-groups
Can we conclude that this group is cyclic? [duplicate]
abstract-algebra
group-theory
finite-groups
cyclic-groups
Why are there $12$ automorphisms of $\Bbb Z\oplus \Bbb Z_{3}$?
abstract-algebra
group-theory
finite-groups
abelian-groups
Least permutations needed to permute from decreasing order to increasing order
sequences-and-series
group-theory
finite-groups
permutations
Normalizer of a Sylow 2-subgroups of dihedral groups
abstract-algebra
group-theory
finite-groups
sylow-theory
dihedral-groups
Explicit isomorphism $S_4/V_4$ and $S_3$ [duplicate]
group-theory
finite-groups
permutations
$G$ solvable $\implies$ composition factors of $G$ are of prime order.
abstract-algebra
group-theory
finite-groups
solvable-groups
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