# automorphisms Meaning in Bengali

## Similer Words:

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autonomous

autonomously

autonomy

autopilot

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autopsy

autosuggestion

autumn

autumnal

autumns

auxiliaries

auxiliary

avail

## automorphisms's Usage Examples:

The set of all **automorphisms** of an object forms a group, called the automorphism group.

These inner **automorphisms** form a subgroup of the automorphism group, and the quotient of the automorphism.

In mathematics, Hurwitz's **automorphisms** theorem bounds the order of the group of **automorphisms**, via orientation-preserving conformal mappings, of a compact.

analysis, Tomita–Takesaki theory is a method for constructing modular **automorphisms** of von Neumann algebras from the polar decomposition of a certain involution.

The composition of two **automorphisms** is another.

mathematics, the automorphism group of an object X is the group consisting of **automorphisms** of X.

the inner **automorphisms**.

As abstract group there are in addition to these 10 inner and 10 outer **automorphisms**, 20 more outer **automorphisms**; e.

precisely 84(g − 1) **automorphisms**, where g is the genus of the surface.

This number is maximal by virtue of Hurwitz's theorem on **automorphisms** (Hurwitz 1893).

automorphism group of G and Inn(G) is the subgroup consisting of inner **automorphisms**.

The composition of two **automorphisms** is again an automorphism, and with this operation the set of all **automorphisms** of a group G, denoted by Aut(G).

diagrams also have self-isomorphisms or "**automorphisms**".

Diagram **automorphisms** correspond to outer **automorphisms** of the Lie algebra, meaning that the outer.

The set of all **automorphisms** is a subset of End(X) with a group structure, called the automorphism.

Most fundamentally, this involves the study of one-parameter **automorphisms** of the algebra of all bounded operators on the Hilbert space of observables.

These transformation laws are **automorphisms** of the state space, that is bijective transformations which preserve.

of the fixed points of a set of field **automorphisms** is a field called the fixed field of the set of **automorphisms**.

extensions as follows: If E is a given field, and G is a finite group of **automorphisms** of E with fixed field F, then E/F is a Galois extension.

In every category, the **automorphisms** of an object always form a group, called the automorphism group of the.

more specifically the study of field **automorphisms** is an important part of Galois theory.

Just as the **automorphisms** of an algebraic structure form a group.

These **automorphisms** do not project to **automorphisms** of SO(8).