Question

Modifying the definition of iso/automorphism of a formal language string found in Eugene Luk's and Laszlo Babai's works...

score 42 · Answer 1 · 2022-10-31 17:10:25

42

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Modifying the definition of iso/automorphism of a formal language string found in Eugene Luk's and Laszlo Babai's works...

Published on 31 Oct 2022 - 17:10

score 62 · Answer 2 · 2022-11-04 00:17:19

62

Views

Subgroups of $S_n$ that are automorphism groups of a graph with $n$ vertices.

Published on 04 Nov 2022 - 0:17

score 139 · Answer 3 · 2022-11-07 01:07:50

139

Views

Is the inner automorphism $\phi_g$ the same as $\phi_{g^{-1}}$

Published on 07 Nov 2022 - 1:07

score 127 · Answer 4 · 2022-11-09 19:55:39

127

Views

Smallest group containing $G$ with every automorphism of $G$ becomes inner

Published on 09 Nov 2022 - 19:55

score 154 · Answer 5 · 2022-11-13 04:14:31

154

Views

Generalization of conjugacy classes for all automorphisms

Published on 13 Nov 2022 - 4:14

score 65 · Answer 6 · 2022-11-17 01:08:12

65

Views

Every $p$-elementary abelian group is characteristically simple

Published on 17 Nov 2022 - 1:08

score 131 · Answer 7 · 2026-04-01 16:30:13

131

Views

If $p<q$, $p\nmid q-1$, then “every group of order $pq$ is cyclic” iff “there is no nontrivial homomorphism from $ℤ_p$ into $\mathrm{Aut}(ℤ_q)$”.

Published on 01 Apr 2026 - 16:30

score 74 · Answer 8 · 2026-03-26 19:19:07

74

Views

Automorphism Group of rational normal curve of degree n

Published on 26 Mar 2026 - 19:19

score 92 · Answer 9 · 2026-03-27 13:09:06

92

Views

Outer automorphisms of a holomorph

Published on 27 Mar 2026 - 13:09

score 46 · Answer 10 · 2022-11-23 22:20:58

46

Views

Orbits of action of $GL(m, \mathbb{Z}_{p^n})$ on the set of all subgroups of ${\mathbb{Z}_{p^n}}^m$.

Published on 23 Nov 2022 - 22:20

score 106 · Answer 11 · 2022-11-25 20:24:52

106

Views

Automorphism groups of direct products of non-finite cyclic groups

Published on 25 Nov 2022 - 20:24

score 123 · Answer 12 · 2022-11-28 02:44:07

Prove that disk automorphism of parabolic and hyperbolic types are conformally equivalent to some certain automorphisms respectively.

score 35 · Answer 13 · 2026-03-25 19:06:57

35

Views

A $k$-linear graded automorphism of $A$ is not necessarily an automorphism of algebra.

Published on 25 Mar 2026 - 19:06

score 49 · Answer 14 · 2022-11-29 22:21:30

49

Views

Is an injective endomorphism always surjective ? (group theory)

Published on 29 Nov 2022 - 22:21

score 86 · Answer 15 · 2022-11-30 02:37:52

86

Views

Simple Lie groups with exceptionally small automorphism groups

Published on 30 Nov 2022 - 2:37

List Question

Modifying the definition of iso/automorphism of a formal language string found in Eugene Luk's and Laszlo Babai's works...

Subgroups of $S_n$ that are automorphism groups of a graph with $n$ vertices.

Is the inner automorphism $\phi_g$ the same as $\phi_{g^{-1}}$

Smallest group containing $G$ with every automorphism of $G$ becomes inner

Generalization of conjugacy classes for all automorphisms

Every $p$-elementary abelian group is characteristically simple

If $p<q$, $p\nmid q-1$, then “every group of order $pq$ is cyclic” iff “there is no nontrivial homomorphism from $ℤ_p$ into $\mathrm{Aut}(ℤ_q)$”.

Automorphism Group of rational normal curve of degree n

Outer automorphisms of a holomorph

Orbits of action of $GL(m, \mathbb{Z}_{p^n})$ on the set of all subgroups of ${\mathbb{Z}_{p^n}}^m$.

Automorphism groups of direct products of non-finite cyclic groups

Prove that disk automorphism of parabolic and hyperbolic types are conformally equivalent to some certain automorphisms respectively.

A $k$-linear graded automorphism of $A$ is not necessarily an automorphism of algebra.

Is an injective endomorphism always surjective ? (group theory)

Simple Lie groups with exceptionally small automorphism groups

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