Results 41 to 50 of about 12,736,939 (290)
On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [PDF]
International Journal of Group Theory, 2022 For an odd prime $p$ and a positive integer $n$, it is well known that there are two types of extra-special $p$-groups of order $p^{2n+1}$, first one is the Heisenberg group which has exponent $p$ and the second one is of exponent $p^2$.
Chudamani Pranesachar Anil Kumar +1 more
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AUTOMORPHISM GROUPS OF FREE GROUPS [PDF]
Journal of the Australian Mathematical Society, 2008 Abstract This note contains some remarks on generating pairs for automorphism groups of free groups. There has been significant use of electronic assistance. Little of this is used to verify the results.
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The discrete Heisenberg group and its automorphism group [PDF]
, 2015 In this note we give more easy and short proof of a statement previously proved by P. Kahn that the automorphism group of the discrete Heisenberg group ${\rm Heis}(3, \mathbb{Z}) $ is isomorphic to the group $ (\mathbb{Z} \oplus \mathbb{Z}) \rtimes GL(2,\
D. Osipov
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Linear codes resulting from finite group actions [PDF]
Transactions on Combinatorics, 2022 In this article, we use group action theory to define some important ternary linear codes. Some of these codes are self-orthogonal having a minimum distance achieving the lower bound in the previous records. Then, we define two new codes sharing the same
Driss Harzalla
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Possible Groups of Automorphisms [PDF]
Proceedings of the National Academy of Sciences, 1943 Not ...
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Group extensions and automorphism group rings [PDF]
Homology, Homotopy and Applications, 2003 The group ring of the automorphism group of a p-group is studied using the automorphism groups of subgroups and quotient groups of P.
Martino, John, Priddy, Stewart
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Normalizer property of finite groups with almost simple subgroups
Electronic Research Archive, 2022 In this paper, we prove that all Coleman automorphisms of extension of an almost simple group by an abelian group or a simple group are inner. Using our methods we also show that the Coleman automorphisms of 2-power order of an odd order group by an ...
Jingjing Hai , Xian Ling
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CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP
پژوهشهای ریاضی, 2021 In this paper we classify finite p-groups (p>2 ) with metacyclic automorphism group. Particularly we prove that the automorphism group of group G is metacyclic if and only if G is cyclic of order p^n.
Shirin Fouladi
doaj
The automorphism group for p-central p-groups [PDF]
International Journal of Group Theory, 2012 A p-group is p-central if the central quotient has exponent p, and G is (p^2)-abelian if (xy)^{p^{2}}=(x^{p^2})(y^{p^2}) for all x,y in G . We prove that for G a finite (p^2)-abelian p-central p-group, excluding certain cases, the order of G divides the ...
Anitha Thillaisundaram
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Every group has a terminating transfinite automorphism tower
, 1998 The automorphism tower of a group is obtained by computing its automorphism group, the automorphism group of THAT group, and so on, iterating transfinitely.
Hamkins, Joel David
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