We show that elementary abelian direct factors can be disregarded in the study of the
modular isomorphism problem. Moreover, we obtain four new series of abelian invariants of …

Non-inner automorphisms of order p in finite p-groups of coclass 3 | SpringerLink Skip to main
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Noninner automorphisms of order p for finite p-groups of coclass 2 Page 1 J. Group Theory 17
(2014), 267 – 272 DOI 10.1515/jgt-2013-0046 © de Gruyter 2014 Noninner automorphisms of …

In 1935, the introduction of the norm of a group by Reinhold Baer is a turning point in group
theory. In fact, Baer proved that there is a very strong relationship between the structure of …

A group is called a T-group if all its subnormal subgroups are normal. It is proved here that if
G is an uncountable soluble periodic group of regular cardinality ℵ in which all subnormal …

On the nonabelian tensor square and capability of groups of order 8q - ScienceDirect Skip to
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A finite group G is called an F-group (G∈ F) if for every x, y∈ G∖ Z (G), CG (x)≤ CG (y)
implies that CG (x)= CG (y). An important subclass of F-groups are CA-groups, consisting of …

A Cayley graph Γ of a group G is a graphical doubly regular representation (GDRR) of the
group G if Aut Γ is generated by the left and the right regular representations L (G) and R (G) …

Γ is a group of central type if it possesses an irreducible complex character of degree| Γ: Z
(Γ)| 1∕ 2. This is the largest possible degree for an ordinary irreducible character of a finite …

A group H is said to be autocapable if there exists a group M such that H is isomorphic to the
absolute central factor group M/L (M) of M. In this paper, we first prove that if N is a …